STA301 Final Term Past Paper 1

 FINALTERM EXAMINATION 

Spring 2010
STA301- Statistics and Probability

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
► t-Test
► Both Z & T-test
► F test

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
► 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


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

► 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

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
► 10

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


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.