VU Corner: STA301 Final Term Past Paper 3

FINALTERM EXAMINATION

STA301- Statistics and Probability (Session - 4)

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

When each outcome of a sample space has equal chance to occur as any other, the outcomes are called:

► Mutually exclusive

► Equally likely

► Not mutually exclusive

► Exhaustive

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

The mean of the F-distribution is:

►

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

The LSD test is applied only if the null hypothesis is:

► Rejected

► Accepted

► No conclusion

► Acknowledged

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

Analysis of variance is a procedure that enables us to test the equality of several:

► Variances

► Means

► Proportions

► Groups

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

ANOVA was introduced by :

► Helmert

► Pearson

► R.A Fisher

► Francis

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

For testing of hypothesis about population proportion , we use:

► Z-test PROPORTIONS ARE TESTED AND MEAN

► t-Test MEAN IS TESTED

► Both Z & T-test

► F test VARIANCE AND STANDARD DEVIATION

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

If a random variable X denotes the number of heads when three distinct coins are tossed, the X assumed the values:

► 0,1,2,3

► 1,3,3,1

► 1, 2, 3

► 3, 2

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

If X and Y are independent variables, then E (XY) is:

► E(XX)

► E(X).E(Y)

► X.E(Y)

► Y.E(X)

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

The parameters of the binomial distribution b(x; n, p) are:

► x & n

► x & p

► n & p

► x, n & p

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

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

► P(E)= - 1 ROBIBILITY SHOULD NEVER BE NEGATIVE AND NOT BE GREATER THAN ONE

► P(E)=1

► P(E)=1/2

► P(E)=1/3

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

An estimator T is said to be unbiased estimator of

► E (T) =

EXPECTION OF STATISTIC IS EQUAL TO PARAMETER THAT IS ESTIMATED THEN STATISTIC IS CALLED UNBIASED OTHER WISE BIASED.

► E (T) =T

► E (T) =0

► E (T) =1

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

The best unbiased estimator for population variance

is:

► Sample mean

► Sample median

► Sample proportion

► Sample variance

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

The sample variance

is:

► Unbiased estimator of

► Biased estimator of

IF IT IS DI VIDED BY N-1 THEN IT IS CALLED UNBIASED OTHER WISE BIASED

► Unbiased estimator of

► None of these

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

When c is a constant, then E(c) is:

-c

► 0

► 1

► c THE EXPECTION OF A CONSTATNT IS ALWAYS CONSTANT

► -c

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

If f (x, y) is bivariate probability density function of continuous r.v.'s X and Y then

is:

►

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

The analysis of variance technique is a method for :

► Comparing F distributions

► Comparing three or more means

► Measuring sampling error

► Comparing variances

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

The continuity correction factor is used when:

► The sample size is at least 5

► Both nP and n (1-P) are at least 30

► A continuous distribution is used to approximate a discrete distribution

► The standard normal distribution is applied

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

Stem and leaf is more informative when data is :

► Equal to 100

► Greater Than 100

► Less than 100

► In all situations

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

The branch of Statistics that is concerned with the procedures and methodology for obtaining valid conclusions is called:

► Descriptive Statistics

► Advance Statistics

► Inferential Statistics

► Sampled Statistics

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

Which of the following is a systematic arrangement of data into rows and columns?

► Classification

► Tabulation

► Bar chart

► Component bar chart

Question No: 21 ( Marks: 1 ) - Please choose one

In normal distribution Q.D =

►

Question No: 22 ( Marks: 1 ) - Please choose one

In normal distribution

► 1

► 2

► 3

► 0

Question No: 23 ( 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: 24 ( Marks: 1 ) - Please choose one

Which one of the following statements is true regarding a population?

► It must be a large number of values

► It must refer to people

► It is a collection of individuals, objects, or measurements

► It is small part of whole

Question No: 25 ( Marks: 1 ) - Please choose one

When

,what is the value of Median, if the distribution is symmetrical:

► 1

► 2

► 3

► 4

Question No: 26 ( Marks: 1 ) - Please choose one

In a simple linear regression model, if it is assumed that the intercept parameter is equal to zero, then:

► The regression line will pass through the origin

► The regression line will pass through the point (0,10).

► The regression line will pass through the point (0,-10).

► The slope of the line will also be equal to 0.

Question No: 27 ( Marks: 1 ) - Please choose one

The degrees of freedom for a t-test with sample size 10 is:

► 5

► 8

► 9 n-1

► 10

Question No: 28 ( Marks: 1 ) - Please choose one

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

► Null hypothesis is true

It is shown by h0 and first we assumption is h0

► Alternative hypothesis is true

► Sample size is large

► Population is normal

Question No: 29 ( Marks: 1 ) - Please choose one

A failing student is passed by an examiner is an example of:

► Type I error

► Type II error

► Correct decision

► No information regarding student exams

Question No: 30 ( Marks: 1 ) - Please choose one

How to find

► f(0, 0) + f(0, 1) + f(1, 2)

► f(2, 0) + f(0, 1) + f(1, 0)

► f(0, 0) + f(1, 1) + f(1, 0)

► f(0, 0) + f(0, 1) + f(1, 0)

Question No: 31 ( Marks: 2 )

How many parameters are involved in hypergeometric distribution?

Three N n k

Poission mean is np and variance and mean are equal

Question No: 32 ( Marks: 2 )

If an automobile is driven on the average no more than 16000 Km per year, then formulate the null and alternative hypothesis.

Question No: 33 ( Marks: 2 )

Write down the test statistic when chi- square goodness of fit test is performed.

Question No: 34 ( Marks: 3 )

Find the value of F(table value), when

and α= 0.05

3.37

Question No: 35 ( Marks: 3 )

If X = 327, n = 634,

0.50 then find the z-test statistic for proportion.

Question No: 36 ( Marks: 3 )

If population proportions are given as:

Find

,where n = 10

= p1q1/n1+p2q2/n2

Question No: 37 ( Marks: 5 )

A candidate for mayor in a large city hires the services of a poll-taking organization, and they found that 62 of 100 educated voters interviewed support the candidate, and 69 of 150 uneducated voters support him.

At the 0.05 significance level, test the following

Book Example # 16.17 on Page 155

Professor sher Muhammad Chaudhry

Question No: 38 ( Marks: 5 )

If we have RCBD with MSE=3.19, no.of.treatments = 4, no.of.blocks = 5; then find the value of LSD (least significant difference) for treatments by using α=0.05 and error degrees of freedom is 12.

Question No: 39 ( Marks: 5 )

Find the mean and variance for the sampling distribution given below.