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STA 301      Quiz

50 % correct answer

6 Solved Quiz

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 89

sec(s) 

 

 

Question # 1 of 10 ( Start time: 01:10:28 PM ) Total Marks: 1

A discrete probability function f(x) is always:

Select correct option:

 

 

Zero

One

Negative

Non-negative

 

 

   

 

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 88

sec(s) 

 

 

Question # 2 of 10 ( Start time: 01:11:20 PM ) Total Marks: 1

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

Select correct option:

 

 

1

0

1/2

2

 

 

   

 

 

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Quiz Start Time: 01:10 PM Time Left 88

sec(s) 

 

 

Question # 3 of 10 ( Start time: 01:12:34 PM ) Total Marks: 1

The range of the binomial distribution is:

Select correct option:

 

 

0, 1, 2, ………… 100

0, 1, 2, ………… n

0, 1, 2, ………… x

1,2, …………….n

 

 

   

 

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 89

sec(s) 

 

 

Question # 4 of 10 ( Start time: 01:13:05 PM ) Total Marks: 1

In which of the following situations binomial distributions is approximate to normal distribution?

Select correct option:

 

 

n = 50, p = 0.01

 n = 500, p = 0.001

 n = 100, p = 0.05

 n = 50, p = 0.02

 

 

   

 

 

 

 

 

 www.vustudents.ning.com

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 89

sec(s) 

 

 

Question # 5 of 10 ( Start time: 01:14:26 PM ) Total Marks: 1

The location and shape of the normal curve is (are) determined by:

Select correct option:

 

 

Mean

Variance

Mean & variance

Mean & standard deviation

 

 

   

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 89

sec(s) 

 

 

Question # 6 of 10 ( Start time: 01:14:56 PM ) Total Marks: 1

A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}. If P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2 then P(s5)=?

Select correct option:

 

 

1

0.2

0.8

0.5

 

 

   

 

 

 

 

 

 www.vustudents.ning.com

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 87

sec(s) 

 

 

Question # 7 of 10 ( Start time: 01:15:54 PM ) Total Marks: 1

The joint density function f(x,y) will be a pdf if

Select correct option:

 

 

Both of integrals f(x,y) dx dy =1   

Both of integrals f(x,y) dx dy >1  

Both of integrals f(x,y) dx dy <1  

Both of integrals f(x,y) dx dy =0 

 

 

   

 

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 88

sec(s) 

 

 

Question # 8 of 10 ( Start time: 01:16:12 PM ) Total Marks: 1

Which of the following is correct property for joint probability distribution of X and Y:

Select correct option:

 

 

Sigma f(X,Y)=1

 

Sigma f(Y,X)=1

 

Both of above

 

None of above

 

 

 

   

 

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 89

sec(s) 

 

 

Question # 9 of 10 ( Start time: 01:16:39 PM ) Total Marks: 1

A random variable that can assume every possible value in an interval [a, b]:

Select correct option:

 

 

Discrete variable

Continuous variable

Qualitative variable

Categorical variable

 

 

   

 

 

 

 

 

 

 

 

 

 

 

Quiz Start Time: 01:10 PM Time Left 88

sec(s) 

 

 

Question # 10 of 10 ( Start time: 01:17:02 PM ) Total Marks: 1

Normal approximation to the binomial distribution is used when:

Select correct option:

 

 

np>5

nq>5

Both of the above

None of the above

 

 

    eshal mehak:  The Maximum Likelihood Estimators (MLE) are ………… and …………… but not necessarily ……… 

Select correct option: 

 

Unbiased, consistent, efficient

Consistent, unbiased, efficient

Unbiased, efficient, consistent

Consistent, efficient, unbiased

 

 eshal mehak:  A probability density function ‘f(x)’ has the following property: 

Select correct option: 

 

f(x) <= 0

 

f(x) < 0

 

f(x) > 0

 

f(x) >= 0

 

 eshal mehak:  For a continuous random variable X, P(X = x) is: 

Select correct option: 

 

0

0.5

1

undefined

 

 eshal mehak:  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

 

eshal mehak:  The probability distribution of the proportion of successes in all possible samples is called the: 

Select correct option: 

 

Sampling distribution

Sampling probability distribution 

Sampling distribution of sample proportions

Sampling distribution of Population proportions

 

 eshal mehak:  E(4X + 5) =________ 

Select correct option: 

 

12 E (X)

4 E (X) + 5

16 E (X) + 5

16 E (X)

 

eshal mehak:  For good approximation of Poisson distribution to the binomial distribution, which of the following condition (s) is/are required: 

Select correct option: 

 

The population size is large relative to the sample size

The probability, p, is close to .5 and the population size is large 

The probability, p, is small and the sample size is large

The probability, p, is close to .5 and the sample size is large

 

 eshal mehak:  If an estimator is more efficient then the other estimator, its shape of the sampling distribution will be 

Select correct option: 

 

Flattered

Normal

Highly peaked

Skewed to right

 

MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 1 of 10 ( Start time: 08:45:59 PM )         Total Marks: 1

What does it mean when a data set has a standard deviation equal to zero:

Select correct option:

       Mean = median = mode

       All of the values in the data are same

       The mean of the data is also zero

       All values of the data appear with the same frequency

 

me:  MC060201183 : MUDDASSAR HUSSAIN

 

www.vustudents.ning.com

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 2 of 10 ( Start time: 08:47:20 PM )         Total Marks: 1

Match the binomial probability P(x< 23) with the correct statement.

Select correct option:

       P(there are at most 23 successes)

       P (there are fewer than 23 successes)

       P (there are more than 23 successes)

       P (there are at least 23 successes)

 

me:  MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 3 of 10 ( Start time: 08:48:23 PM )         Total Marks: 1

In statistics, the term ‘expected value’ implies the ___ value.

Select correct option:

       Independent

       Normal

       Standard

       Mean

 

me:  MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 4 of 10 ( Start time: 08:49:11 PM )         Total Marks: 1

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

Select correct option:

       Estimate

       Estimator

       Parameter

       Proportion

Quiz Start Time: 08:45 PM        

Time Left         86

sec(s)        

Question # 5 of 10 ( Start time: 08:49:49 PM )         Total Marks: 1

Total no. of possible samples of size 2 (without replacement) from the population of size 6, will be:

Select correct option:

       20

       15

       10

       18

 

.

 me:  MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 6 of 10 ( Start time: 08:50:41 PM )         Total Marks: 1

When a coin is tossed 3 times, the probability of getting 3 or less tails is

Select correct option:

       1/2

       0

       1

       3/5

1

me:  MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 7 of 10 ( Start time: 08:51:53 PM )         Total Marks: 1

Total no. of possible samples of size 3 (with replacement) from the population of size 6, will be:

Select correct option:

       256

       196

       216

       325

me:  MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         89

sec(s)        

Question # 8 of 10 ( Start time: 08:52:29 PM )         Total Marks: 1

If c is a constant, then E(c) = ___

Select correct option:

       0

       1

       c

       -c

MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 9 of 10 ( Start time: 08:53:35 PM )         Total Marks: 1

Using the normal approximation to the binomial distribution with n= 3 and p= 0.0571 the value of mean is:

Select correct option:

       0.1713

       0.2132

       0.5133

       0.1923

 

MC060201183 : MUDDASSAR HUSSAIN

 

 

 

Quiz Start Time: 08:45 PM        

Time Left         88

sec(s)        

Question # 10 of 10 ( Start time: 08:54:28 PM )         Total Marks: 1

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is:

Select correct option:

       Binomial with n = 5 and p = 0.6

       Binomial with n = 5 and p = 0.4

       Binomial with n = 5 and p = 0.5

       Poisson with u = .6

 Quiz Conference:  1

me:  MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         81

sec(s)        

Question # 1 of 10 ( Start time: 08:57:27 PM )         Total Marks: 1

A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}. If P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2 then P(s5)=?

Select correct option:

       1

       0.2

       0.8

       0.5

 

 

 me:  MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 2 of 10 ( Start time: 08:58:31 PM )         Total Marks: 1

The probability of success changes from trial to trial, is the property of:

Select correct option:

       Binomial experiment

       Hypergeometric experiment

       Both binomial & hypergeometric experiment

       Poisson experiment

 

MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 3 of 10 ( Start time: 08:59:05 PM )         Total Marks: 1

If a statistic used as an estimator, has its expected value equal to the true value of the population parameter being estimated then it is called ........

Select correct option:

       Consistent

       Unbiased

       Efficient

       Sufficient

 

me:  MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 4 of 10 ( Start time: 09:00:22 PM )         Total Marks: 1

In moments method, how many equations are needed to find the 2 unknown parameters?

Select correct option:

       2

       3

       n/2

 

me:  MT060201146 : KAMRAN ELAHI

 

www.vustudents.ning.com

 

 

Quiz Start Time: 08:57 PM        

Time Left         89

sec(s)        

Question # 5 of 10 ( Start time: 09:01:26 PM )         Total Marks: 1

Which of the following is correct property for joint probability distribution of X and Y:

Select correct option:

       Sigma f(X,Y)=1

       Sigma f(Y,X)=1

       Both of above

 

MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         89

sec(s)        

Question # 6 of 10 ( Start time: 09:01:58 PM )         Total Marks: 1

Which of the following is desirable for a good point estimator?

Select correct option:

       Consistency

       Unbiasedness

       Efficiency

       All of these

 

MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 7 of 10 ( Start time: 09:02:26 PM )         Total Marks: 1

The distribution function (df) is also known as

Select correct option:

       Probability distribution

       Probability mass function

       Probability density function

       Cumulative distribution function

 

  MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 8 of 10 ( Start time: 09:02:52 PM )         Total Marks: 1

If X and Y are two discrete r.v’s with joint probability function f(x,y), then the conditional probability function Y given X, f(y|x) is given by

Select correct option:

       f(yj | xi) = f(xi, yj) / g( xi)

       f(yj | xi) = f(xi, yj) / h( yj)

       f(yj | xi) = f(xi, yj) / Sum of g( xi)

       f(yj | xi) = f(xi, yj) / sum of h( yj)

 

  MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 9 of 10 ( Start time: 09:03:25 PM )         Total Marks: 1

If the sample mean is an unbiased estimator for the population mean then:

Select correct option:

       The sample mean has a normal distribution

       The average sample mean, over all possible samples, equals the population mean

       The sample mean is always very close to the population mean

       The sample mean will only vary a little from the population mean

 

MT060201146 : KAMRAN ELAHI

 

 

 

Quiz Start Time: 08:57 PM        

Time Left         88

sec(s)        

Question # 10 of 10 ( Start time: 09:04:18 PM )         Total Marks: 1

Which of the probability distributions has three parameters?

Select correct option:

       Binomial distribution

       Normal distribution

       Hypergeometric distribution

       Poisson distribution

 

Quiz Conference:  Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 1 of 10 ( Start time: 09:08:48 PM )         Total Marks: 1

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

Select correct option:

       Sampling error

       Standard error

       Minimum error

       Universal error

 

 

Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 2 of 10 ( Start time: 09:09:25 PM )         Total Marks: 1

A parameter is a ..... quantity.

Select correct option:

       Constant

       Variable

       Sample

       Random

 

Quiz Start Time: 09:08 PM        

Time Left         86

sec(s)        

Question # 3 of 10 ( Start time: 09:10:08 PM )         Total Marks: 1

How can you define statistical inference?

Select correct option:

       A decision, estimate, prediction or generalization about the population based on information contained in a sample

       A statement made about a sample based on the measurements in that sample

       A set of data selected from a larger set of data

       A decision, estimate, prediction or generalization about sample based on information contained in a population

 

Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 4 of 10 ( Start time: 09:11:26 PM )         Total Marks: 1

Which of the following is most important and most widely used method in point estimation?

Select correct option:

       The method of moments

       The method of fractional moments

       The method of leas square

       The method of maximum likelihood

 

 

 

Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 5 of 10 ( Start time: 09:12:45 PM )         Total Marks: 1

The location and shape of the normal curve is (are) determined by:

Select correct option:

       Mean

       Variance

       Mean & variance

       Mean & standard deviation

 

Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 6 of 10 ( Start time: 09:13:28 PM )         Total Marks: 1

A discrete probability function f(x) is always:

Select correct option:

       Zero

       One

       Negative

       Non-negative

 

Quiz Conference:  Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 7 of 10 ( Start time: 09:14:14 PM )         Total Marks: 1

Binomial distribution is skewed to the right if:

Select correct option:

       p=q

       P<q

       p>q

       p=n

 

Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 8 of 10 ( Start time: 09:15:14 PM )         Total Marks: 1

In a discrete distribution function, F(23) can be stated as:

Select correct option:

       P (there are at most 23 successes)

       P (there are at least 23 successes)

       P (there are less than 23 successes)

       P (there are more than 23 successes)

 

Quiz Conference:  Quiz Start Time: 09:08 PM        

Time Left         88

sec(s)        

Question # 9 of 10 ( Start time: 09:16:12 PM )         Total Marks: 1

The Probabilities of the various values of the sample satistic can be computed using the......... definition of probability.

Select correct option:

       Subjective

       Objective

       Classical

       None of the baove

 

Quiz Conference:  Quiz Start Time: 09:08 PM        

Time Left         89

sec(s)        

Question # 10 of 10 ( Start time: 09:17:12 PM )         Total Marks: 1

E(10X +3) =_______

Select correct option:

       10 E(X)

       E(X)+3

       10 E(X)+3

       100E(X)

 

Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         88

sec(s)        

Question # 1 of 10 ( Start time: 09:20:04 PM )         Total Marks: 1

If p is very small and n is considerably large then we shall apply the:

Select correct option:

       Binomial distribution

       Hypergeometric distribution

       Poisson distribution

       Exponential distribution

 

Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 2 of 10 ( Start time: 09:21:19 PM )         Total Marks: 1

Which of the following is NOT applicable to a Poisson distribution?

Select correct option:

       IF P = 0.5 & n = 19

       IF P = 0.01 & n = 200

       IF P = 0.02 & n = 300

       IF P = 0.03 & n = 500

 

Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 3 of 10 ( Start time: 09:22:26 PM )         Total Marks: 1

The normal distribution has points of infection which are equidistance from the:

Select correct option:

       Median

       Mean

       Mode

       Mean,Median & Mode

 

 Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 4 of 10 ( Start time: 09:23:38 PM )         Total Marks: 1

The distribution function (df) is also known as

Select correct option:

       Probability distribution

       Probability mass function

       Probability density function

       Cumulative distribution function

 

 Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         88

sec(s)        

Question # 5 of 10 ( Start time: 09:24:38 PM )         Total Marks: 1

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is:

Select correct option:

       Binomial with n = 5 and p = 0.6

       Binomial with n = 5 and p = 0.4

       Binomial with n = 5 and p = 0.5

       Poisson with u = .6

 

Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 6 of 10 ( Start time: 09:25:57 PM )         Total Marks: 1

If a random variable X denotes the number of heads when we toss a fair coin 5 times, the X assumed the values:

Select correct option:

       0,1,2,3

       1, 2,3,4,5

       0, 1, 2,3,4,5

       1, 5, 5

Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         88

sec(s)        

Question # 7 of 10 ( Start time: 09:27:20 PM )         Total Marks: 1

If c is a constant, then E(c) = ___

Select correct option:

       0

       1

       c

       -c

 

Quiz Start Time: 09:20 PM        

Time Left         88

sec(s)        

Question # 8 of 10 ( Start time: 09:27:57 PM )         Total Marks: 1

As a rule of thumb, when n>=30, then we can assume that………is normally distributed:

Select correct option:

       Probability distribution

       Sampling distribution

       Binomial distribution

       Sampling distribution of sample mean

 

Quiz Conference:  Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 9 of 10 ( Start time: 09:28:58 PM )         Total Marks: 1

If b(x, 7, 0.30), the variance of this distribution is:

Select correct option:

       1.77

       1.74

       1.44

       1.47

 

Quiz Start Time: 09:20 PM        

Time Left         89

sec(s)        

Question # 10 of 10 ( Start time: 09:30:19 PM )         Total Marks: 1

Which of the following is a characteristic of a binomial probability experiment?

Select correct option:

       Each trial has more than two possible outcomes

       P(success) = P(failure)

       Probability of success changes for each trail

       The result of one trial does not affect the probability of success on any other trial

s�hgX�H�o� boys) do not match with our behavior and we may lose our Iman, which is the most precious thing for a Muslim. At last, which I think is that men and women, girl and boys, should study alone, they should not interact with one another as it will pollute the environment in another way.

 

 

   

Question No: 20    (Marks: 10 )

 Write an essay on any one of the given topics. It should comprise of 200-230 words.                          

 

Abuse at home and domestic violence should be punished.

                          OR

Media violence has a negative effect.

 

Childhood is the age of getting and loosing habits. If a child, from the beginning starts hard work, he/she will become habitual of it, which will provide benefit to him/her in his/her whole life. Conversely, if a child becomes habitual of some ill mannered acts such as abusing at home he/she will suffer a lot in future. After all he/ she has to came out of home at some stage and when he entered in practical life what other people think about him. People will think that parents didn’t instruct their child and are careless.

 

Similarly in our homes, it is seen that people used to do violence even, between father and mother. Such a child which from childhood used to see these things will be greatly affected. The quarrel between the children at home is also very common. But if a child is not controlled, then he will become so habitual that he may do violence on others in practical life ,may be his friends, wife or any other.

 

So the point I want to clear is that, we should punish the child or anyone at home because, home is the first place from where the child get up things after mother’s lap. But do not punish so intently that the child may left the home or any other misdeed he did. If we will not do so, it will have big drawbacks in future for all

members of family.

STA301…..mcqs……..

 

In a multiplication theorem P (A and B) equals:

Select correct option:

 

P (A) P (B)

P (A) + P (B)

P (A) * P (B|A)

P(B\A)*P(B)

The probability can never be:

Select correct option:

 

1

1/2

1

-1/2

If two fair die are thrown, the probability of getting a double six is:

Select correct option:

 

1/6

2/36

1/36

1/12

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

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is:

Select correct option:

 

20

2

4

16

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

Select correct option:

 

1

0

1/2

2

Probability of an impossible event is always:

Select correct option:

 

Less than one

Greater than one

Between one and zero

Zero

Question # 8 of 10 ( Start time: 01:38:25 PM )

Total Marks: 1

E(4X + 5) =__________

Select correct option:

 

12 E (X)

4 E (X) + 5

16 E (X) + 5

16 E (X)

The location and shape of the normal curve is (are) determined by:

Select correct option:

 

Mean

Variance

Mean & variance

Mean & standard deviation

The probability of success changes from trial to trial, is the property of:

Select correct option:

 

Binomial experiment

Hypergeometric experiment

Both binomial & hypergeometric experiment

Poisson experiment

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

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

¼+1/2=3/4

 

tanksssss ♥

thanku so much

thanks

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