# STA301 Statistics and Probability Final Term Paper 2010

(Session - 4)

## FINALTERM EXAMINATION Spring

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Question No: 1 ( M - 1 ) .

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 ( M - 1 ) .

The mean of the F-distribution is:

Question No: 3 ( M - 1 ) .

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

► Rejected

► Accepted

► No conclusion

► Acknowledged

Question No: 4 ( M - 1 ) .

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

► Variances

► Means

► Proportions

► Groups

Question No: 5 ( M - 1 ) .

ANOVA was introduced by :

► Helmert

► Pearson

► R.A Fisher

► Francis

Question No: 6 ( M - 1 ) .

For testing of hypothesis about population proportion , we use:

► Z-test

► t-Test

► Both Z & T-test

► F test

Question No: 7 ( M - 1 ) .

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 ( M - 1 ) .

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 ( M - 1 ) .

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

► x & n

► x & p

► n & p

► x, n & p

Question No: 10 ( M - 1 ) .

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

► P(E)= - 1

► P(E)=1

► P(E)=1/2

► P(E)=1/3

Question No: 11 ( M - 1 ) .

An estimator T is said to be unbiased estimator of if

► E (T) =

► E (T) =T

► E (T) =0

► E (T) =1

Question No: 12 ( M - 1 ) .

The best unbiased estimator for population variance is:

► Sample mean

► Sample median

► Sample proportion

► Sample variance

Question No: 13 ( M - 1 ) .

The sample variance is:

► Unbiased estimator of

► Biased estimator of

► Unbiased estimator of

► None of these

Question No: 14 ( M - 1 ) .

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

1

0

c

-c

► 0

► 1

► c

► -c

Question No: 15 ( M - 1 ) .

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

is:

►

►

►

►

Question No: 16 ( M - 1 ) .

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 ( M - 1 ) .

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 ( M - 1 ) .

Stem and leaf is more informative when data is :

► Equal to 100

► Greater Than 100

► Less than 100

► In all situations

Question No: 19 ( M - 1 ) .

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 ( M - 1 ) .

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

► Classification

► Tabulation

► Bar chart

► Component bar chart

Question No: 21 ( M - 1 ) .

In normal distribution Q.D =

►

►

►

►

Question No: 22 ( M - 1 ) .

In normal distribution

► 1

► 2

► 3

► 0

Question No: 23 ( M - 1 ) .

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 ( M - 1 ) .

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 ( M - 1 ) .

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

► 1

► 2

► 3

► 4

Question No: 26 ( M - 1 ) .

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 ( M - 1 ) .

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

► 5

► 8

► 9

► 10

Question No: 28 ( M - 1 ) .

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

► Null hypothesis is true

► Alternative hypothesis is true

► Sample size is large

► Population is normal

Question No: 29 ( M - 1 ) .

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 ( M - 1 ) .

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 ( M - 2 ) **

How many parameters are involved in hypergeometric distribution?

**Question No: 32 ( M - 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 ( M - 2 ) **

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