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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 m_{3} 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
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 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.
historigram curve is used for time series ,,,,,100% sure ,,,check b.com book
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