STA301- Statistics and Probability Solved 2010 Finalterm Paper

FINALTERM  EXAMINATION

Spring 2010

STA301- Statistics and Probability (Session - 4)

www.allvupastpapers.blogspot.com       

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

   

www.allvupastpapers.blogspot.com       

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

       ► t-Test MEAN IS TESTED

       ► Both Z & T-test

       ► F test VARIANCE AND STANDARD DEVIATION

  www.allvupastpapers.blogspot.com       

 

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

 www.allvupastpapers.blogspot.com       

  

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

       ►   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  if

       ► E (T) =

       ► E (T) =T

       ► E (T) =0

       ► E (T) =1

www.allvupastpapers.blogspot.com       

   

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:

www.allvupastpapers.blogspot.com       

       ► Unbiased estimator of

       ► Biased estimator of

       ► Unbiased estimator of

       ► None of these

   

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

 When c is a constant, then E(c) is:

1

0

c

-c

       ► 0

       ► 1

       ► c

       ► -c

    www.allvupastpapers.blogspot.com       

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:

       ►

       ►

       ►

       ►

 www.allvupastpapers.blogspot.com       

  

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:

www.allvupastpapers.blogspot.com       

       ► 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 =

www.allvupastpapers.blogspot.com       

       ►

       ►

       ►

       ►

   

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

 In normal distribution

www.allvupastpapers.blogspot.com       

       ► 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:

www.allvupastpapers.blogspot.com       

       ► 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.

  www.allvupastpapers.blogspot.com       

 

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

 www.allvupastpapers.blogspot.com       

  

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)

  www.allvupastpapers.blogspot.com       

 

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.            

www.allvupastpapers.blogspot.com       

   

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

www.allvupastpapers.blogspot.com       

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

www.allvupastpapers.blogspot.com       

   

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.

www.allvupastpapers.blogspot.com       

	F( )		F( )	F( )
0	1/20
1/3	9/20
2/3	9/20
1	1/20
	1

www.allvupastpapers.blogspot.com       

Mean=

Variance=

www.allvupastpapers.blogspot.com