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STA301 Online Quiz One More File 

Attachments:

 

 STA301 Qezz no 1

 

Quiz Start Time: 05:01 PM      

Time Left          81

sec(s)  

Question # 1 of 10 ( Start time: 05:01:05 PM )  Total Marks: 1

What type of data is collected in population census?

Select correct option:

Two Types

 

Quiz Start Time: 05:01 PM  Time Left  77

sec(s)                                                                                                                

 

Question # 2 of 10 ( Start time: 05:04:05 PM )  Total Marks: 1 

The collection of all outcomes for an experiment is called 

Select correct option: 

 

 a sample space 

 the intersection of events 

 joint probability

 population

 

Quiz Start Time: 05:01 PM  Time Left  75

sec(s)   

 

 Question # 3 of 10 ( Start time: 05:04:51 PM )  Total Marks: 1 

Which of the graph is used for a time series data: 

Select correct option: 

 

 Frequency curve

 Frequency polygon

 Historigram

 Histogram ( not sure)

 

Quiz Start Time: 05:01 PM  Time Left  47

sec(s)   

 

 

Question # 4 of 10 ( Start time: 05:06:06 PM )  Total Marks: 1 

A histogram is consists of a set of adjacent rectangles whose bases are marked off by: 

Select correct option: 

 

 Class boundaries

 Class limits

 Class frequency

 Class marks

Quiz Start Time: 05:01 PM  Time Left  72

sec(s)   

 

 

Question # 5 of 10 ( Start time: 05:06:56 PM )  Total Marks: 1 

The value that has half of the observations above it and half the observations below it is known as: 

Select correct option: 

 

 Mean

 Median

 Mode

 Standard deviation

 

Quiz Start Time: 05:01 PM  Time Left  57

sec(s)   

 

 

Question # 6 of 10 ( Start time: 05:07:24 PM )  Total Marks: 1 

The height of a student is 60 inches. This is an example of ...........? 

Select correct option: 

 

 Continuous data

 Qualitative data

 Categorical data

 Discrete data

 

Quiz Start Time: 05:01 PM  Time Left  47

sec(s)   

 

 

Question # 7 of 10 ( Start time: 05:08:06 PM )  Total Marks: 1 

Range of the values -2,-3,-4,-3,-9,-2,-8,-1,0 is 

Select correct option: 

 

 0

-9

 8

 9

 

Quiz Start Time: 05:01 PM  Time Left  70

sec(s)   

 

 

Question # 8 of 10 ( Start time: 05:09:26 PM )  Total Marks: 1 

If the both tails of the distribution are equal, then distribution is called: 

Select correct option: 

 

 J-shaped

 Symmetrical

 

 Positively Skewed

 Negatively Skewed

 

Quiz Start Time: 05:01 PM  Time Left  41

sec(s)   

 

 

Question # 9 of 10 ( Start time: 05:09:54 PM )  Total Marks: 1 

Ranking scale also include the properties of which scale? 

Select correct option: 

 

 Nominal scale

 Interval scale

 Ratio scale

 All of these

 

 

Quiz Start Time: 05:01 PM  Time Left  31

sec(s)   

 

 

Question # 10 of 10 ( Start time: 05:10:56 PM )  Total Marks: 1 

Range of the values -2.50,-3.70,-4.80,-3.10,-9.70,-2.20,-8.90,-1.60, 0.60 is 

Select correct option: 

 

 10.03

 10.30

 9.10

 9.00

1. A quantity obtained by applying certain rule or formula is known as

Select correct option:

Estimate

Estimator

2. Criteria to check a point estimator to be good involves

Select correct option:

Consistency

Unbiasedness

Efficiency

Above all pg 258

3. The F-distribution always ranges from:

Select correct option:

0 to 1

0 to -8

-8 to +8

0 to +8

4. 1-a is the probability of ......

Select correct option:

Type 1 error

Rejection region

Acceptance region

Type 2 error

5. Parameter is a ………quantity.

Select correct option:

Constant

Variable

6. To find the estimate of a parameter…….methods are used.

Select correct option:

Two

Three

Four

Many

7. A failing student is passed by an examiner. It is an example of:

Select correct option:

Type I error

Type II error

Correct decision

No information regarding student exams

8. For two mutually exclusive events A and B, P (A) = 0.2 and P (B) = 0.4, then P(AUB) is:

Select correct option:

0.8

0.2

0.6

0.5

P(AUB)=P(A)+p(B)=0.2+0.4=0.6

9. An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn

without replacement. It is the example of:

Select correct option:

Binomial distribution

Hypergrometric distribution

Poisson distribution

Exponential distribution

10. A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 of diamonds:

Select correct option:

1/5

1/13

1/52

11. If P(AnB) = 0.12 P (A) = 0.3, find P (B) where ‘A’ and ‘B’ are independent:

Select correct option:

0.1

0.2

0.3

0.4

0.3X0.4=0.12

12. The mean deviation of the normal distribution is approximately:

Select correct option:

7/8 of the S.D

4/5 of the S.D

3/4 of the S.D

1/2 of the S.D

13. We use the Poisson approximation to the binomial when:

Select correct option:

p is 0.01 or less & n is 10 or more

p is 0.05 or less & n is 20 or more pg221

p is 0.04 or less & n is 15 or more

p is 0.02 or less & n is 10 or more

14. The conditional probability P (A\B) is:

Select correct option:

P(A n B)/P(B) pg157

P(A n B)/P(A)

P(A U B)/P(B)

P(A U B)/P(A)

15. We use the General Rule of Multiplication to combine:

Select correct option:

Events those are not independent

Mutually exclusive events

Events that total more than 1.00

Events based on subjective probabilities

16. Which statement is NOT CORRECT?

Select correct option:

The sample standard deviation measures variability of our sample values

A larger sample will give answers that vary less from the true value than smaller samples

The sampling distribution describes how our estimate (answer) will vary if a new sample is taken

A large sample size always gives unbiased estimators regardless of how the sample is chosen

17. Probability of an impossible event is always:

Select correct option:

Less than one

Greater than one

Between one and zero

Zero

18. The number of parameters in uniform distribution is (are):

Select correct option:

12

pg 224

 

34

19. The probability can never be:

Select correct option:

1 1/2

1 -

1/2

20. The conditional probability P (A\B) is:

Select correct option:

P(A n B)/P(B)

P(A n B)/P(A)

P(A U B)/P(B)

P(A U B)/P(A)

21. A random sample of n=25 values gives sample mean 83. Can this sample be regarded as drawn

from a normal population with μ= 80 and s= 7? In this question the alternative hypothesis will

be:

Select correct option:

H1: μ = 80

H1: μ ? 80

H1: μ > 80

H1: μ <80 pg 278

22. If f(x) is a continuous probability function, then P(X = 2) is:

Select correct option:

10 1/2

2

23. The binomial distribution is negatively skewed when:

Select correct option:

p>q pg 214

p<q

p=q

p=q=1/2

24. If we roll three fair dices then the total number of outcomes is:

Select correct option:

6 36

216

1296

6^3=216

25. When we draw the sample with replacement, the probability distribution to be used is:

Select correct option:

Binomial

Hypergeometric

Binomial & hypergeometric pg 219

Poisson

26. The moment ratios of normal distribution come out to be:

Select correct option:

0 and 1

0 and 2

0 and 3 pg 226

0 and 4

27. The probability of an event is always:

Select correct option:

less than 1

between o and 1

greater than 1

28. Symbolically, a conditional probability is:

Select correct option:

P(AB)

P(A/B)

P(A)

P(AUB)

29. Suppose the test scores of 600 students are normally distributed with a mean of 76 and

standard deviation of 8. The number of students scoring between 70 and 82 is:

Select correct option:

272

164

260

328

30. If P (A) = 0.3 and P (B) = 0.5, find P (A/B) where ‘A’ and ‘B’ are independent:

Select correct option:

0.3

0.5

0.8

0.15

31. An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn

without replacement. It is the example of:

Select correct option:

Binomial distribution

Hypergrometric distribution

Poisson distribution

Exponential distribution

32. If the second moment ratio is less than 3 the distribution will be:

Select correct option:

Mesokurtic

Leptokurtic

Platykurtic pg 226

None of these

33. For the independent events A and B if P (A) = 0.25, P (B) =0.40 then P (A and B) =……

Select correct option:

0.65

0.1

0.50

0.15

P(A)*P(B)0.25*0.40=0.1

34. A set of possible values that a random variable can assume and their associated probabilities of

occurrence are referred to as __________.

Select correct option:

Probability distribution

The expected return

The standard deviation

Coefficient of variation

35. A random variable X has a probability distribution as follows: X | 0 1 2 3 P(X) | 2k 3k 13k 2k

What is the possible value of k:

Select correct option:

0.01

0.03

0.05

0.07

36. The probability of drawing any one spade card is:

Select correct option:

1/52

4/52

13/52

52/52

37. The function abbreviated to d.f. is also called the......

Select correct option:

Probability density function

Probability distribution function pg 172

Commutative distribution function

Discrete function

38. Binomial distribution is skewed to the right if:

Select correct option:

p=q

P<q

p>q

p=n

39. A discrete probability function f(x) is always:

Select correct option:

Zero

One pg 172

Negative

Non-negative

40. For a binomial distribution, n= 10 & q= 0.6, the mean of the distribution is:

Select correct option:

0.6

6.0

10

4

P=1-q

1-0.6=0.4,

mean =np10*0.4=4

41. In the FA examination, 24candidates offered Statistics. If the probability of passing the subject

be 1/3, what will be the mean of the distribution?

Select correct option:

7865

42. The probability that a certain machine will produce a defective item is 1/4. If a random sample

of 6 items is taken from the output of this machine, what is the probability that there will be 5

or more defectives in the sample?

Select correct option:

3/4096

18/4096

19/4096

4/4096

43. Probability of type II error is

Select correct option:

a

B pg 276

1-a

1-B

44. If the values of variables are increasing or decreasing in the same direction then such kind of

correlation is referred as

Select correct option:

Zero Correlation

Perfect Correlation

Positive Correlation

Negative Correlation

45. The moving averages of the Prices 55,60,65,70 are

Select correct option:

70, 75

60, 65

65,65

70,60

46. The best measure of variation is

Select correct option:

Range

Quartile deviation

Variance

Coefficient of variance

47. Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the

best interpretation of this?

Select correct option:

Weak negative.

Strong negative.

Weak positive.

Strong positive.

48. ………use the division of a circle into different sectors. Select correct option:

Line graph

Sector graphs

Frequency Polygon

Conversion Graphs

49. The measurement of measure of degree of to which any two variables vary together is called

Select correct option:

Regression Coefficient

Correlation

Both (a) and (b)

None of these

50. Analysis of Variance (ANOVA) is a test for equality of:

Select correct option:

variances

means

proportions

only two parameters

51. For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73,

number of classes selected between 5 and 15 Then class width will be Select correct option:

15

85

All options 1,2 ,3 are possible

52. If strength of the association between X and Y is very weak, then r = ? Select correct option:

r = - 1

r = 0

r = 1

r = 2

53. The moving averages of the Prices 90,70,30,110 are Select correct option:

63.33, 70

73.33, 80

45.45, 68

65.50, 75

54. With increase in sample size, distribution tends to be a.......

Select correct option:

Meso kurtic

Normal

Bell shaped

Above all

55. In the central tendency Mean, Median and Mode

Select correct option:

Mean is better than Median

Median is better than Mode

Mean is better than Mode

All of these are true

56. The degree to which numerical data tend to spread about an average is called

Select correct option:

The dispersion

Standard deviation

Correlation

None of these

57. …………..graphs are similar to bar graphs.

Select correct option:

column

line

conversion

sector

58. A pattern of variation of a time series that repeats every year is called:

Select correct option:

Cyclical

Seasonal

Trend

Secular

59. In the central tendency Mean, Median and Mode

Select correct option:

Mean is better than Median

Median is better than Mode

Mean is better than Mode

All of these are true

60. The degree to which numerical data tend to spread about an average is called

Select correct option:

The dispersion

Standard deviation

Correlation

None of these

61. …………..graphs are similar to bar graphs.

Select correct option:

column

line

conversion

sector

62. A pattern of variation of a time series that repeats every year is called:

Select correct option:

Cyclical

Seasonal

Trend

Secular

63. You have measured the systolic blood pressure of a random sample of 22 employees of a

company. A 95% con?dence interval for the mean systolic blood pressure for the employees is

computed to be (120,138). Which of the following statements gives a valid interpretation of this

interval?

Select correct option:

About 95% of the sample of employees has a systoli

About 95% of the employees in the company have a

If the sampling procedure were repeated many times

If the sampling procedure were repeated many times

64. Assume that a population consists of 7 similar containers having the following weights (km):

9.8, 10.2, 10.4, 9.8, 10.0, 10.2, 9.6 What is the second moment about mean?

Select correct option:

0.262 kg

0.069kg

0.521 kg

0.313kg

65. How many numbers of parameter(s) are in t-distribution?

Select correct option:

0

1 pg 292

2

3

66. With increase in sample size, distribution tends to be a.......

Select correct option:

Meso kurtic

Normal

Bell shaped

Above all

67. F-distribution is a…………….. distribution.

Select correct option:

Unimodel pg 312

Bimodal

Discrete

Negatively skewed

68. Which one of the following sampling methods would give unbiased results, if you need to find

out the number of people in your town liking vanilla or chocolate ice creams?

Select correct option:

Ask my neighbors

Randomly select a few ice cream shops in town, and

Ask my friends

Ask my classmates

69. A standard deviation obtained from sampling distribution of sample statistics is known as

Select correct option:

Sampling Error

Standard error pg 240

70. If the regression line: Y= 3+5X meets y-axis at ‘8’ units distance from origin then the value of

x-intercept is

Select correct option:

-(3/5)

3/5

11/5

1

71. Sum of three terms whose mean is equal to 90 is

Select correct option:

270

30

Also 90

None of these

270/3=90

72. FREQUENCY Function calculates how often values occur within a range of values.

Select correct option:

true

False

73. Which of the following correlation coefficients represents the weakest correlation between two

variables?

Select correct option:

0.15

-0.15

0.02

-1.00

74. If the value of r is 0.8 ,then the coefficient of determination is

Select correct option:

67%

64%

80%

75%

75. If the dependent variable increases with the independent variable then the coefficient of

correlation is

Select correct option:

0 to -1

0 to – 0.5

0 to -2

0 to 1

76. F- distribution tends to normality, if

Select correct option:

V1~8

V2~8

V1 and V2 ~8

Sample size is large

77. Consistency of an estimator can be checked by comparing

Select correct option:

Mean

MSE

Variance

Standard deviation

78. A standardized estimate has mean and variance

Select correct option:

(1, 0)

(0, 1)

(μ, s2)

(μ, s)

79. A composite hypothesis comprises of ………

Select correct option:

Equality

Not equal to

Less than/greater

(b) and (c)

80. For a particular hypothesis test, a=0.05and B=0.05. The power of test is equal to:

Select correct option:

0.14

0.90

0.95

0.25

81. In a t-distribution

Select correct option:

Mean=median=mode

Mean>Median<Mode

Median >Mean>Mode

Media<Mode<Mean

82. If we reject the null hypothesis, we might be making

Select correct option:

Type I error

Type II error

A correct decision

Unpredictable

83. The Central Limit Theorem is important in Statistics because it allows us to use the normal

distribution to make inferences concerning the population mean:

Select correct option:

Provided that the population is normally distributed a

Provided that the population is normally distributed (

Provided that the sample size is reasonably large (fo

Provided that the population is normally distributed and the population variance is known (for

any sample size)

84. Herbicide A has been used for years in order to kill a particular type of weed, but an

experiment is to

be conducted in order to see whether a new herbicide, Herbicide B, is more effective than

Herbicide A.

Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more

effective.

The alternative hypothesis in this problem is that

Select correct option:

Herbicide A is more effective than Herbicide B

Herbicide B is more effective than Herbicide A

Herbicide A is not more effective than Herbicide B

Herbicide B is not more effective than Herbicide A

85. A data in which we study about Regions is called……

Select correct option:

Qualitative

Quantitative

Geographical

Chronological

86. If the median of an arrangement of numbers is equal to the mean of its middle terms then the

arrangement contains

Select correct option:

Odd number of terms

Even number of terms

Unlimited number of terms

Prime number

87. If the graph is very much scattered, then what can be the suitable value of r?

Select correct option:

r = - 0.9

r = -0.5

r = 0.1

r=0.8

88. In scatter diagram, clustering of points around a straight line indicates

Select correct option:

Linear regression

Non-linear regression

Curvilinear linear regression

Both a and b

89. If the standard deviation of a population is 9, the population variance is

Select correct option:

39 21.35

81

90. How many steps are involved in general procedure for testing hypothesis:

4567 91. When testing for independence in a

contingency table with 2

rows and 5

columns, there are

________ degrees of freedom.

4

10

75 r-1*c-1

2-1*5-1=4

92. The critical region is in:

The middle of a distribution

The tails of a distribution

Either the middle or the tails of a distribution

Neither the middle nor the tails of a distribution

93. t-distribution is used to test the hypothesis about.....

Mean

proportion

The term 1-B is called

Level of the test

power of the test

Size of the test

Critical region

94. The asymptotic distribution of t-statistic with n-degree of freedom is

F

Normal

Z T

95. The Gallup Poll has decided to increase the size of its random sample of Canadian voters from

about 1200 people to about 4000 people. The e?ect of this increase is to:

Reduce the bias of the estimate

Increase the standard error of the estimate

Reduce the variability of the estimate

Increase the con?dence interval width for the parameter

96. The value of chi square can never be :

Zero

Less then 1

Greater then 1

Negative

97. The curve of the F- distribution depends upon:

Mean

Variance

Standard Deviation

Sample Size

98. We want to test H0 : μ = 1.5 vs. H1 : μ 6= 1.5 at _= .05 . A 95% confidence interval for μ

calculated from a given random sample is (1.4, 3.6)Based on this finding we:

Fail to reject H0

Reject H0

Cannot make any decision at all because the value of the test statistic is not available

Cannot make any decision at all because (1.4, 3.6) is only a 95%

99. When we want to test the equality of two variances we usually use

F-test

Chi-square test

ANOVA

Z_test

100. To find the estimate of a parameter…….methods are used.

Two

Three

Four

Many

101. In testing hypothesis, we always begin it with assuming that:

Null hypothesis is true

Alternative hypothesis is true

Sample size is large

Population is normal

102. t-distribtion is applicable in case of

Independent samples

Dependent samples

Both (a) and (b)

Normal populations

103. When testing for independence in a contingency table with 3 rows and 4 columns, there are

________ degrees of freedom.

567 12

104. The Chi- Square distribution is continuous distribution ranging from:

0 = ?2= 8

-8 =?2 =0

-8 =?2 =1

-8 = ?2= 8

105. The location of the critical region depends upon:

Null hypothesis

Alternative hypothesis

Value of alpha

Value of test-statistic

106. A random sample of n = 6 has the elements 6, 10,13,14,18 and 20.What is the point

estimate of the population mean?

12

13.5

11

11.5

107. ML estimators may not ………

Consistent

Efficient

Unbiased

Bised

108. Which of the following reveals the weakest fact.

Select correct option:

The measure of central tendency measures that value which depends only on the extreme values

The measure of central tendency measures that value in tha data which occurs in the data most frequent

times.

The measure of central tendency measures the value which has tendency to lie in the central part of the

data.

109. The measure of central tendency measures the distance of values from means

Frequency polygon is …………

Select correct option:

Bar Charts

A line graph

Pareto Chats

None of these

110. A bar graph uses ……to show data.

Select correct option:

Points

Bars

Lines

Pictures

111. Geographical data deals with…

Select correct option:

Religion

Height

Income

Regions

112. Which one provides the basis for hypothesis testing?

Null hypothesis

Alternative hypothesis

Critical value

Test-statistics

113. The test statistic to test the U1 = U2 (U represent the mean of population)for normal

population for n>30.

F-test

Z-test

T-test

Chi-Square test

114. In a t-distribution

Mean=median=mode

Mean>Median<Mode

Median >Mean>Mode

Media<Mode<Mean

115. 1-a is the probability of ......

Type 1 error

Rejection region

Acceptance region

Type 2 error

116. Inferential statistics involves …….

Testing

Confidence interval

Estimation

Above all

117. Probability of type II error is

a

B 1-a

1-B

118. if the equation of regression line is y = 5, then what result will you take out from it?

Select correct option:

The line passes through origin.

The line passes through (5, 0)

The line is parallel to y-axis.

The line is parallel to x-axis.

119. If the estimating equation is Y = a – b X ,Which of the following is true

Select correct option:

a)The y intercept is’b’

b) Slope of line is negative

c) There is inverse relationship

d) b & c

120. The variance of t-distribution, for v >2, is always:

Select correct option:

Greater than zero

Less than one

Equal to one

Greater than one

121. Alpha is the probability of ......

Select correct option:

Rejecting H0

Accepting H0

Rejecting H1

Accepting H1

122. What type of data is collected in population census?

Select correct option:

Two Types

123. The collection of all outcomes for an experiment is called

Select correct option:

a sample space

the intersection of events

joint probability

population

124. Which of the graph is used for a time series data:

Select correct option:

Frequency curve

Frequency polygon

Historigram

Histogram

125. A histogram is consists of a set of adjacent rectangles whose bases are marked off by:

Select correct option:

Class boundaries

Class limits

Class frequency

Class marks

126. The value that has half of the observations above it and half the observations below it is

known as:

Select correct option:

Mean

Median

Mode

Standard deviation

127. The height of a student is 60 inches. This is an example of ...........?

Select correct option:

Continuous data

Qualitative data

Categorical data

Discrete data

128. Range of the values -2,-3,-4,-3,-9,-2,-8,-1,0 is

Select correct option:

0

-9

89

0-9=-9

129. If the both tails of the distribution are equal, then distribution is called:

Select correct option:

J-shaped

Symmetrical

Positively Skewed

Negatively Skewed

130. Ranking scale also include the properties of which scale?

Select correct option:

Nominal scale

Interval scale

Ratio scale

All of these

131. Range of the values -2.50,-3.70,-4.80,-3.10,-9.70,-2.20,-8.90,-1.60, 0.60 is

Select correct option:

10.03

10.30

9.10

9.00

0.60+9.70=10.30

132. What is/are the mode for the following data: 1,m,d,n,,2,d,2,d,s,5,5,7

Select correct option:

2

d5 2,d,5

133. If the standard deviation of a population is 5.5, the population variance is:

Select correct option:

5.5

31

25

30.25

134. What we commonly called a bell shaped distribution:

Select correct option:

syme

bi moder

u shap

skewed

135. The beginnings of a cumulative frequency distribution are presented below. What is the

next number in the Cumulative Frequency column? Classes Frequency Cumulative Frequency

6.1 to 8 1 1 8.1 to 10 2 10.1 to 12 3

Select correct option:

0

123

136. Range of the values -10,- 19, -9, -15, -28, -26, -25 is:

Select correct option:

+18

-18

-19

+19

137. Which one of the following is less than median for a symmetrical distribution:

Select correct option:

50percentile

51 percentile

2quartile

4decile

138. The value of the middle term in a ranked (ordered) data set is called the

Select correct option:

mode

mean

median

harmonic mean

139. Sum of absolute deviations of the values is least when deviations are taken from

Select correct option:

mean

median

mode

g.m

140. Statistic is a numerical quantity, which is calculated from

Select correct option:

data

observation

sample

population

141. The branch of Statistics that is concerned with the procedures and methodology for

obtaining valid conclusions is called:

Select correct option:

descriptive

advance

infernetial

sample

142. How to find the class midpoint?

Select correct option:

Half the sum of upper class limit and lower class limit

Find the difference between consecutive lower limits

Count the number of observations in the class

Divide the class frequency by the number of observ

143. For given data, discuss the shape of the distribution: X f 0.2 8 1.2 15 2.2 23 3.2 40

Select correct option:

Positively skewed

Negatively skewed

Symmetric curve

U- Shaped curve

144. Data classified by attributes are called:

Select correct option:

group

qulitative

quantitive

array

if ‘2’ is a leading digit in 24335, than what are the trailing digits in the observation to

display a ‘Stem-and –Leaf display’.

Select correct option:

4 335

4335

43

145. A frequency polygon is obtained by plotting the class frequencies against what?

Select correct option:

classbounday

cumulative frequency

relative frequency

mid point

146. When more values are lying at the start of the distribution, it is:

Select correct option:

u shape

positive

negative

symmetrica

147. The data for an ogive is found in which distribution:

Select correct option:

A cumulative frequency distribution

A joint frequency distribution

A frequency distribution

A relative frequency distribution

148. Which one of the following is greater than median for a symmetrical distribution:

Select correct option:

1st Decile

7th Decile

44th Percentile

14th Percentile

149. Statistics deals with

Select correct option:

Individuals

Isolated items

Isolated items

Aggregates of facts

150. Data classified by attributes are called:

Select correct option:

Grouped data

Qualitative data

Quantitative data

Arrayed data

151. As a general rule, statisticians tends to use which of the following number of classes when

arranging the data

Select correct option:

Fewer than 5

Between 5 & 20

Between 8 & 15

More than 20

152. The collection of all outcomes for an experiment is called

Select correct option:

a sample space

the intersection of events

joint probability

population

153. If P (E) is the probability that an event will occur, which of the following must be false:

Select correct option:

P(E)= - 1

P(E)=1

P(E)=1/2

P(E)=1/3

154. If we roll a die then probability of getting a ‘2’ will be

Select correct option:

2/6

1/6

4/6

1

155. In a multiplication theorem P (A n B) equals:

Select correct option:

P (A) P (B)

P (A) + P (B)

P (A) * P (B|A) pg 158

P(B\A)*P(B)

156. If Y=3X+5,then S.D of Y is equal to

Select correct option:

9 s.d(x)

3 s.d(x)

s.d(x)+5

3s.d(x)+5

157. In regression line Y=a+bX, X is called:

Select correct option:

Dependent variable

Independent variable

Explained variable

Regressand

158. Symbolically, a marginal probability is:

Select correct option:

P(AB)

P(AUB)

P(A/B)

P(A)

159. Which formula represents the probability of the complement of event A:

Select correct option:

1 + P (A)

1 - P (A)

P (A)

P (A) -1

160. If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) = :

Select correct option:

0.65

0.05

0.03

0.07 not sure

161. The probability of drawing a ‘white’ ball from a bag containing 4 red, 8 black and 3 white

balls is:

Select correct option:

0 3/15

1/12

1/2

Total ball= 4+8+3=15

P=3/15

162. An expected value of a random variable is equal to:

Select correct option:

Variance

Mean

Standard deviation

Quartile

 

163. When we toss a fair coin 4 times, the sample space consists of….points.

Select correct option:

48 12

16

164. 5C5=

Select correct option:

51 10

25

165. In a probability distribution, the sum of the probabilities is equal to:

Select correct option:

0 0.1

0.5

1

166. The simultaneous occurrence of two events is called:

Select correct option:

Joint probability

Subjective probability

Prior probability

Conditional probability

167. Let E and F be events associated with the same experiment. Suppose the E and F are

independent and that P(E) = 1/4 and P(F) = 1/2 Then P(E U F) is:

Select correct option:

1/8

3/4

7/8

5/8

MIDTERM  EXAMINATION

Spring 2009

STA301- Statistics and Probability (Session - 6)

Time: 60 min

Marks: 38

Question No: 1    ( Marks: 1 )    - Please choose one

 For a positively skewed distribution m3 will be:

 

       ► Positive

       ► Negative

       ► Zero

       ►  1

   

Question No: 2    ( Marks: 1 )    - Please choose one

 When data is labeled to identify an attribute of element, the measurement scale is:

 

       ► Ordinal

       ► Interval           

       ► Nominal

       ► Ratio

   

Question No: 3    ( Marks: 1 )    - Please choose one

 Suppose the estimated equation is has been calculated for a set of data. What is slop of the line:

 

       ► 0

       ► 2

       ► -2

       ► 5

   

Question No: 4    ( Marks: 1 )    - Please choose one

 If P(B|A) = 0.25 and , then P(A) is:

 

       ► 0.05

 

       ► 0.80

 

       ► 0.95

 

       ► 0.75

 

   

Question No: 5    ( Marks: 1 )    - Please choose one

 Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data:

       ► Advance statistics   

       ► Probability statistics

       ► Descriptive statistics

       ► Inferential statistics

   

Question No: 6    ( Marks: 1 )    - Please choose one

 In a sample of 800 students in a university, 160, or 20%, are Business majors.  Based on the above information, the school's paper reported that "20% of all the students at the university are Business majors."  This report is an example of :

       ► A sample

       ► A population

       ► Sstatistical inference

       ► Descriptive statistics

   

Question No: 7    ( Marks: 1 )    - Please choose one

 

     A set that contains all possible outcomes of a system is known as

 

       ►   Finit

      ► Infinite Set

      ► Universal

      ► No of these

   

Question No: 8    ( Marks: 1 )    - Please choose one

 If X and Y are independent, then Var(X-Y) is equal to:

 

       ►

       ►

       ►

       ► Zero

   

Question No: 9    ( Marks: 1 )    - Please choose one

 Which of the following is the class frequency

       ► The number of observations in each class

       ► The difference between consecutive lower class limits

       ► Always contains at least 5 observations

       ► Usually a multiple of the lower limit of the first class

   

Question No: 10    ( Marks: 1 )    - Please choose one

 How to construct the class interval:

 

       ► Divide the class frequencies in half

       ► Divide the class frequency by the number of observations

       ► Find the difference between consecutive lower class limits

       ► Count the number of observations in the class

   

Question No: 11    ( Marks: 1 )    - Please choose one

 Data in the Population Census Report is:

 

       ► Ungrouped data

 

       ► Secondary data

 

       ► Primary data

 

       ► Arrayed data

 

   

Question No: 12    ( Marks: 1 )    - Please choose one

What is the range of -2,-3,-5,-10 :

 

       ►  -12          

            ►    8

       ►   -8

            ►    2

   

Question No: 13    ( Marks: 1 )    - Please choose one

 The algebraic sum of deviations from mean is:

       ► Maximum

       ► Minimum

       ► Zero

       ► Undefined

   

Question No: 14    ( Marks: 1 )    - Please choose one

 The sum of squares of deviations from mean is:

 

       ► Undefined

       ► Zero

       ►  Maximum

       ► Minimum

   

Question No: 15    ( Marks: 1 )    - Please choose one

Statistic is a numerical quantity, which is calculated from:

 

       ► Population

       ►  Sample

       ► Data

       ► Observations

   

Question No: 16    ( Marks: 1 )    - Please choose one

Which of the following is not based on all the observations?

 

       ► Arithmetic Mean

       ► Geometric Mean

       ► Harmonic mean

       ► Mode

   

Question No: 17    ( Marks: 1 )

 Elaborate the word dispersion

We can say that the degree of scatter of data, usually about an average value, can be the median. 

 

Question No: 18    ( Marks: 1 )

 Define population.

 

We can define population is the collection of individuals or objects having some common measurable characteristics.

 

   

Question No: 19    ( Marks: 2 )

 What does mean by the independence of two events:

 

We can define independence of two events are statistically independent if the probability of their occurring jointly equals the product of their respective probabilities. Independence of two events also know as stochastic independence.

 

Question No: 20    ( Marks: 3 )

 The reciprocal of the values are               

 

0.012, 0.0235, 0.0135

Calculate Harmonic Mean

 Harmonic mean is 250.037

   

Question No: 21    ( Marks: 5 )

 The probability that a student passes mathematics is 2/3 and the probability that he passes English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that he will pass both courses?

 

 

Answer:

Math=2/3

English=4/9

Least one passing probability= 4/5

 

Math + English         =2/3+4/9

=1.11

4/5+1.11

=1.911

 

   

Question No: 22    ( Marks: 10 )

 A pair of dice is thrown, then

1) Find the sample space for this experiment

Suppose if A and B is the pair of dice then lets try to find out how many result we can find

 

  • A hit first
  • B Hit first
  • B hit Second
  • A Hit Second
  • Both Hit Equally
  • Both didn't Hit

 

 

2) Determine the probability of getting the sum 8 on the dice

 

3) Find the probability of getting sum 7 or 11

 

Question No: 1    ( Marks: 1 )    - Please choose one

 10! =………….

 

       ► 362880

                                    *► 3628800

       ► 362280

       ► 362800

   

Question No: 2    ( Marks: 1 )    - Please choose one

 If a player well shuffles the pack of 52 playing card, then the probability of a black card from 52 playing cards is:

       ►

 

                                                                        *►    

       ►

       ►

   

Question No: 3    ( Marks: 1 )    - Please choose one

 The probability of drawing a ‘jack card ‘ from 52 playing cards is:

 

       ►

                                          *►

       ►

       ►

   

Question No: 4    ( Marks: 1 )    - Please choose one

 Which dispersion is used to compare variation of two series:

           

       ► C.V.

                                    *► Q.D.

       ► M.D.

       ► S.D.

   

Question No: 5    ( Marks: 1 )    - Please choose one

 If all the values fall on the same straight line and the line has a positive slope then what will be the value of the correlation coefficient ‘r’:

 

       ►  0 ≤ r ≤ 1

       ►  r ≥ 0

                                                *► r = +1

       ► r=-1

   

Question No: 6    ( Marks: 1 )    - Please choose one

 In a regression line Y= a + bX, the value of  the correlation coefficient will be zero if:

 

                        *► Intercept  a = 0

 

       ► Intercept  a ≠ 0

       ► Slope b = 0

 

       ► Slope b ≠ 0

 

   

Question No: 7    ( Marks: 1 )    - Please choose one

 When two coins are tossed the probability of at least one head is:

       ► 1/4

                                    * ► 3/4

       ► 2/4

       ► 4/4

   

Question No: 8    ( Marks: 1 )    - Please choose one

 Which one of the following measurement does not divide a set of observations into equal parts?

       ► quartiles

       ► deciles

       ► percentiles

                                    *► standard deviations

   

Question No: 9    ( Marks: 1 )    - Please choose one

 In the model Y = mX + a, Y is also known as the:

 

       ► Predictor variable

       ► Independent variable

       ► Predicted variable

       ► Explanatory variable

   

Question No: 10    ( Marks: 1 )    - Please choose one

 According to empirical rule approximately 95% of the measurements will fall under which interval?

 

       ►

                                                *►

       ►

       ►

   

Question No: 11    ( Marks: 1 )    - Please choose one

 Which one of the following is written at the top of the table?

 

 

       ► Source note

 

       ► Foot note

 

       ►  Prefatory note

 

                                    *► Title

   

Question No: 12    ( Marks: 1 )    - Please choose one

 If a curve has a longer tail to the right, it is called :

 

                                    *► Positively skewed

 

       ► Negatively skewed

 

       ► J-shaped

 

       ► Symmetric

 

   

Question No: 13    ( Marks: 1 )    - Please choose one

 Which one of the following is the class frequency?

                                    * ► The number of observations in each class

       ► The difference between consecutive lower class limits

       ► Always contains at least 5 observations

       ► Usually a multiple of the lower limit of the first class

   

Question No: 14    ( Marks: 1 )    - Please choose one

 If X is a discrete random variable, then the function is

 

       ► A probability function

       ► A probability density function

       ► A density function

                                    *► A distribution function

   

Question No: 15    ( Marks: 1 )    - Please choose one

 Which one of the following graphs is used for a time series data?

 

                                   *► Histogram

 

       ► Historigram

       ► Frequency curve

 

       ► Frequency polygon

 

   

Question No: 16    ( Marks: 1 )    - Please choose one

 If you connect the mid-points of rectangles in a histogram by a series of lines that also touches the x-axis from both ends, what will you get?

 

       ► Ogive

       ► Frequency polygon

                                                *► Frequency curve

       ► Historigram

   

Question No: 17    ( Marks: 1 )    - Please choose one

 If mean of the two observations is 10.5, then median of these two observations will be:

 

       ► 7.5

       ► 8.5

       ► 9.5

                        *► 10.5

   

Question No: 18    ( Marks: 1 )    - Please choose one

 Which one is the formula of mid range:

       ►

       ►

       ►

                        *►

   

Question No: 19    ( Marks: 1 )    - Please choose one

 Which one of the following is not included in measures of central tendency:

 

                                                 *► Quartile deviation

 

       ► Harmonic mean

 

       ► Geometric mean

 

       ► Arithmetic mean

 

   

Question No: 20    ( Marks: 1 )    - Please choose one

 For the given data 2, 3, 7, 0, -8 G. M will be:

 

 

       ► Negative

       ►  Positive

       ► Zero

                              * ► Undefined

   

Question No: 21    ( Marks: 2 )

 Why measure of central tendency and measure of dispersion are complementary to each other?

 

   

Question No: 22    ( Marks: 2 )

 What do you know about discrete random variable?

 

    Ans:

 

            Such a numerical quantity whose value is determined by the value of a random experiment is called a random variable.

 

Example:

            If we toss three dice together and let X represents the number of heads, then the random variable X consists of the value 0, 1, 2, and 3. the X in this example is a discrete random variable.

 

Question No: 23    ( Marks: 3 )

 What is the subjective approach to the probability?

 

Ans:


Subjective probability is a measure of the strength of a person’s belief regarding the occurrence of an event A.  Probability in this sense is purely subjective and is based on whatever evidence is available to the individual.

 

It has a disadvantage that 2 or more persons faced with the same evidence may arrive at different probabilities.

 

Example:

 

Suppose a panel of three judges is hearing a trial. It is possible that based on the evidence that is presented, two of them arrive at the conclusion that the accused is guilty while one of them  decides that the evidence is not strong to draw this conclusion.

 

   

Question No: 24    ( Marks: 3 )

 Explain the difference between absolute dispersion and relative dispersion:

 

Ans:

 

 

   

Question No: 25    ( Marks: 5 )

  Differentiate between the mutually exclusive events and exhaustive events.

 

Mutually Exclusive Events

Two events A and B of a single experiment are said to be mutually exclusive if and only if they cant both occur at the same time.

 

Example:

 

When a die is rolled, the events ‘even number’ and odd number are mutually exclusive as we can get eithere an even number or an odd number in one throw, not both at the same time.

 

Exhaustive Events:

 

Events are said to be collectively exhaustive, when the union of mutually exclusive events is equal to the entire sample space S.

 

Examples

 

In the coin tossing experiment, head and tail are collectively exhaustive events.

 

   

Question No: 26    ( Marks: 5 )

 Find the first two moments about mean from the following data.

X= 34, 70, 42, 54, 40, 68, 56, 38, 36, 72

 

 

STA301

Total Questions = 23
16 mcsq's (mostly from probability)
2 marks questn=3
3 marks questn=2
5 marks questn=2

1- why we need to calculate coefficient of variation? (2)
2- what is the scatter diagram? (2)
3- A number X chosen at random from the integers 1 to 14 both are inclusive. find the probability
i) if x is an even number
ii) if x is an multiple of 5 or 6 (5)
4- P(A/B) = P(B/A) if P(A) = P(B) is the statment true or wrong if statment is not true then justify the reason? (3)

baki ppr yad nhi .........


Question: 1: What is sample point explain with an example (02 Marks)
Question 2: find the Harmonic Mean of the following value
12, 22,33,44,55, (02 Marks)
Question 3: what is the relasnship between the first moment about any arbitrary value (A) and the means? (02 Marks)
Questing 4: If mean of a distribution is 25 and Stranded deviation is 5, find out the limits by applying chybychev’s inequality for K =2 (03 Marks)
Question 5: Given P (A) = 0.60 P (B) = 0.40 P (A B) = 0.24
FIND P (ABU) (03Marks)
Personage Group

(Bedian Campus)

 

Question 6: for the following data calculate + ks, K=2 also interrupt these limits
25, 31, 29,24,32,23,28,25,23 (05 Marks)
Question 7:
A random variable x has the following propbality distribution
X p(x)
-2 0.1
-1 K?
0 0.2
1 2k 
2 0.3
3 3K
Find the value of K

 

Paper 1

what is meant by sample point 2 marks

differ between Combination and permutation2 marks

Differentiate between absolute dispersion and relative dispersion and

what is dispersion 3 marks

Describe descriptive and infraction statistics 3 marks

data was given Found Harmonic mean, and Geometric mean 5 marks

Find Slop Bxy from given data 5 marks

paper 2

if pare of dice are rolled what is probability of get Total of 10 and Total

of 9 2 marks

Define Simple and compound sample 2 marks

write down the empirical relationship between Mean, Median and

Mode3 marks

Describe Statistic, perimeter and also tell what is Classification mean? 3

Personage Group

(Bedian Campus)

 

marks

in Equation Y = a +bx what is Y, a, b, x ? 5 marks

Two coins are tossed draw a sample space and also tell the probability

of:

 2 Heads

 at least 1 head

 1 tail

 at least 2 tails

5 marks

 

 

 

The exact question which asked in my papers are:

 

The probability of drawing a ‘jack card ‘from 52 playing cards is:

       ►                        ►

     

Personage Group

(Bedian Campus)

 

 ►                     ►

 

If all the values fall on the same straight line and the line has a positive slope then what will be the value of the correlation coefficient ‘r’:

       ► 0 ≤ r ≤ 1

       ► r ≥ 0

       ► r = +1

       ► r=-1

 

If a curve has a longer tail to the right, it is called:

       ► Positively skewed

       ► Negatively skewed

       ► J-shaped

       ► Symmetric

 

Which one of the following is not included in measures of central tendency?

       Personage Group

(Bedian Campus)

 

► Quartile deviation

       ► Harmonic mean

       ► Geometric mean

       ► Arithmetic mean

 

Which of the following is not based on all the observations?

       ► Arithmetic Mean

       ► Geometric Mean

       ► Harmonic mean

       ► Mode

 

What is the Standard Deviation of 7, 7, 7, 7, 7, 7, 7

          49

          1

          0

7      

 

Personage Group

(Bedian Campus)

 

What are simple events and what are compound events?               [3Marks]

 

 

 

For a particular data of 5 pair of values:                              [3 Marks]

      The fitted regression line is:

Y= - 0.5 + 0.5 x

Find the standard error of estimate (Sy.x); what doest it indicates?

This is question already given to us in our 2nd Assignment. Only the regression line values were change. Rest of values were same.

Be careful I am giving the assignment solution not the asked question.

 

 

 

 

 

 

 

 

 

 

 

Personage Group

(Bedian Campus)

 

When a pair of dice is rolled, make the sample space and find the probability

Total of 7

For all sum greater than 6                                     [5 Marks]

 

That question was also given in second assignment.

 

 

The data was given. Calculate Standard Deviation and Variance         [5 marks]

I forget the data. But the calculation which is required is so simple. Everything was given. [Standard Deviation for group data]

 

see this picture and remember jacks

Personage Group

(Bedian Campus)

 

Queens, red Queens, Diamonds etc, it is very impotent for probability type Questions and it can come in MCQs

 

 

 

 

Personage Group

(Bedian Campus)

 

Question No: 17 ( Marks: 1 )
Elaborate the word dispersion.
We can say that the degree of scatter of data, usually about an average value, can be the median.

Question No: 18 ( Marks: 1 )
Define population.

We can define population is the collection of individuals or objects having some common measurable characteristics.


Question No: 19 ( Marks: 2 )
What does mean by the independence of two events:

We can define independence of two events are statistically independent if the probability of their occurring jointly equals the product of their respective probabilities. Independence of two events also know as stochastic independence.

Question No: 20 ( Marks: 3 )
The reciprocal of the values are

0.012, 0.0235, 0.0135
Calculate Harmonic Mean
Harmonic mean is 250.037

Question No: 21 ( Marks: 5 )
The probability that a student passes mathematics is 2/3

and the probability that he passes English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that he will pass both courses?
Personage Group

(Bedian Campus)


Math=2/3
English=4/9
Least one passing probability= 4/5

Math + English =2/3+4/9
=1.11
4/5+1.11
=1.911


Question No: 22 ( Marks: 10 )
A pair of dice is thrown, then
1) Find the sample space for this experiment

Suppose if A and B is the pair of dice then lets try to find out how many result we can find

· A hit first
· B Hit first
· B hit Second
· A Hit Second
· Both Hit Equally
· Both didn't Hit


2) Determine the probability of getting the sum 8 on the dice

3) Find the probability of getting sum 7 or 11

Personage Group

(Bedian Campus)

 

measure of central tendency and measure of dispersion are complementary to each other?

 

Answer: Together both measures give us adequate description of data.

 

Question No: 22    (Marks: 2)

 What do you know about discrete random variable?

 

 Answer:

Such a numerical quantity whose value is determined by the value of a random experiment is called a random variable.

 

Example: If we toss three dice together and let X represents the number of heads, then the random variable X consists of the value 0, 1, 2, and 3. the X in this example is a discrete random variable.

 

Question No: 23    (Marks: 3)

 What is the subjective approach to the probability?

Personage Group

(Bedian Campus)

 

 Answer:

Subjective probability is a measure of the strength of a person’s belief regarding the occurrence of an event A.  Probability in this sense is purely subjective and is based on whatever evidence is available to the individual.

 

It has a disadvantage that two or more persons faced with the same evidence may arrive at different probabilities.

 

Example:

 

Suppose a panel of three judges is hearing a trial. It is possible that based on the evidence that is presented; two of them arrive at the conclusion that the accused is guilty while one of them decides that the evidence is not strong to draw this conclusion.
 

Question No: 24    (Marks: 3)

 Explain the difference between absolute dispersion and relative dispersion:

 

 Answer:

Personage Group

(Bedian Campus)

 

Question No: 25    (Marks: 5)

  Differentiate between the mutually exclusive events and exhaustive events.

 

Answer:

 

Mutually Exclusive Events: Two events A and B of a single experiment are said to be mutually exclusive if and only if they both can’t occur at the same time.

 

Example:

When a die is rolled, the events ‘even number’ and odd number are mutually exclusive as we can get either an even number or an odd number in one throw, not both at the same time.

 

Exhaustive Events: Events are said to be collectively exhaustive, when the union of mutually exclusive events is equal to the entire sample space S.

 

Examples:

Personage Group

(Bedian Campus)

 

In the coin tossing experiment, head and tail are collectively exhaustive events.

 

Question No: 26    (Marks: 5)

 Find the first two moments about mean from the following data.

X= 34, 70, 42, 54, 40, 68, 56, 38, 36, 72

 

 

 

STA301 Mid Term Current Paper (Dec 2010)

 

1) find the probability when fair dice is thrown
make a sample space and find the sum that is equal to 10 
2) multiplication theorem of probability.
3) -1<r<1 find the relationship between these. page 123


Explain Y=a+bX in this equation what is meant by Y, a, b, X page116
Moment ratios find b1 question mujhe exactly yad nahi per b1 find krna tha page 114

Absolute and relative measure of dispersion. page 77



Another Paper:

Current paper 

1. What is the PARTITION sample? 2 marks.
2. Find the skewness of data from the following: 3 marks.
Q1 = 0.011, Q2= 0.023, Q3= 0.033
another 3 marks question is about Pearson Coefficient of skewness.
one question from probability is of 5 marks and one from regression in which i have to find out Standard estimate of error is also of 5 marks.

 

 

 

shukran ,,,

historigram curve is used for time series ,,,,,100% sure ,,,check b.com book

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