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STA301- Statistics and Probability
Solved MCQS
From Final Term Papers
Feb 19 ,201 3
FINAL TERM EXAMINATION
Spring 2012
STA301- Statistics and Probability
Question No: 1 ( Marks: 1 ) - Please choose one
For a particular data the value of Pearson’s coefficient of skewness is greater then zero. What will be the shape
of distribution?
► Negatively skewed
► J-shaped
► Symmetrical
► Positively skewed (Page 109 )
Question No: 2 ( Marks: 1 ) - Please choose one
In measures of relative dispersion unit of measurement is:
► Changed
► Vanish
► Does not changed
► Dependent
Question No: 3 ( Marks: 1 ) - Please choose one
The F-distribution always ranges from:
► 0 to 1
► 0 to - ∞
► - ∞ to +∞
► 0 to +∞ (Page 312)
In chi-square test of independence the degrees of freedom are:
► n - p
► n - p-
► n - p- 2
► n – 2
Question No: 5 ( Marks: 1 ) - Please choose one
The Chi- Square distribution is continuous distribution ranging from:
► - ∞ ≤ χ2≤ ∞
► - ∞ ≤χ2 ≤
► - ∞ ≤χ2 ≤
► 0 ≤ χ2≤ ∞ (Page 307)
Question No: 6 ( Marks: 1 ) - Please choose one
If X and Y are random variables, then
E X Y
is equal to:
E X ) E Y (
E X ) E Y (
(Page 202)
X E Y
E X Y
Question No: 7 ( Marks: 1 ) - Please choose one
If ŷ is the predicted value for a given x-value and b is the y-intercept then the equation of a regression line for
an independent variable x and a dependent variable y is:
► ŷ = mx + b, where m = slope (Page 121)
► x = ŷ + mb, where m = slope
► ŷ = x/m + b, where m = slope
► ŷ = x + mb, where m = slope
Question No: 8 ( Marks: 1 ) - Please choose one
The location of the critical region depends upon:
► Null hypothesis
► Alternative hypothesis (Page 281)
► Value of alpha
► Value of test-statistic
Which of the falling is true for the binomial distribution b(x: n, p):
► Mean > Variance (Page 214)
►Mean < Variance
►Mean = Variance
►Mean = Standard Deviation
Question No: 7 ( Marks: 1 ) - Please choose one
What is m f in the formula of mode?
►first frequency
►last frequency
►middle frequency
► highest frequency (Page 54)
FINAL TERM EXAMINATION
Fall 2011
STA301- Statistics and Probability
Question No: 1 ( Marks: 1 ) - Please choose one
The parameters of the binomial distribution b(x; n, p) are:
► x & n ► x & p
► n & p (Page 212)
► x, n & p
Question No: 2 ( Marks: 1 ) - Please choose one
Which of the following is true for the Poisson distribution:
► mean > variance
► mean < variance
► mean = variance (Page 223) ► mean= standard deviation
If a significance level of 1% is used rather than 5%, the null hypothesis is:
► More likely to be rejected
► Less likely to be rejected Click here for detail
► Just as likely to be rejected
► None of the above
Question No: 4 ( Marks: 1 ) - Please choose one
The variance of the chi-square distribution is:
2 v (Page 307)
v 1
v 2
v
Question No: 5 ( Marks: 1 ) - Please choose one
The degrees of freedom for a t-test with sample size 10 is:
► 9 (Page 298)
► 10
FINAL TERM EXAMINATION
Spring 2010
STA301- Statistics and Probability (Session - 4)
Question No: 1 ( Marks: 1 ) - Please choose one
The value of χ
2 can never be :
► Zero–
► Less than 1
► Greater than 1
► Negative (Page 307)
ANOVA was introduced by :
► Helmert
► Pearson
► R.A Fisher (Page 320)
► Francis
Question No: 6 ( Marks: 1 ) - Please choose one
The test statistic used in analysis of variance procedure follow the ....... distribution.:
► χ
2
► T
► Z
► F (Page 326)
Question No: 7 ( Marks: 1 ) - Please choose one
For testing of hypothesis about population proportion , we use:
► Z - test (Page 292)
► t-Test ► Both Z & T-test
► F test
Question No: 8 ( Marks: 1 ) - Please choose one
If X and Y are random variables, then
E X Y
is equal to:
E X ) E Y (
E X ) E Y (
(Page 202) rep
X E Y
E X Y
Question No: 9 ( Marks: 1 ) - Please choose one
A die is rolled. What is the probability that the number rolled is greater than 2 and even:
► 1/
► 1/3 2/6 = 1/ ► 2/
► 5/
Hint: - number that is greater than 2 and is even = 4,6 i.e only 2 numbers out of 6
Therefore the probability 2/6 = 1/
The probability of drawing a king of spade from a pack of 52 cards is:
► 1/ ► 1/
► 1/
► 1/
Question No: 11 ( Marks: 1 ) - Please choose one
An estimator T is said to be unbiased estimator of
if
► E (T) =
(Page 258) ► E (T) =T
► E (T) =
► E (T) =
Question No: 12 ( Marks: 1 ) - Please choose one
From point estimation, we always get:
► Single value (Page 257)
► Two values
► Range of values ► Zero
Question No: 13 ( Marks: 1 ) - Please choose one
The best unbiased estimator for population variance
2 is:
► Sample mean
► Sample median
► Sample proportion
► Sample variance (Page 260)
Question No: 14 ( Marks: 1 ) - Please choose one
When c is a constant, then E(c) is:
► c (Page 180) ► -c
If
5
1
i^20 0,^ ....... i
X then X
^ ^ ^
► 0 (Page 258)
► 20
► 5
► 25
Question No: 21 ( Marks: 1 ) - Please choose one
The height of a student is 60 inches. This is an example of ...........?
► Continuous data (correct)
► Qualitative data ► Categorical data
► Discrete data
Question No: 22 ( Marks: 1 ) - Please choose one
In Statistics, we have MSE which is abbreviation of……
► Mean square error (Page 330)
► Measured square error
► Medical screening exam
► Major sampling error
Question No: 23 ( Marks: 1 ) - Please choose one
Which one is the formula of mid range:
xm x 0
x 0 (^) xm
0
2
x x m
0
2
x x m
(Page 80)
The deviation of a distribution from symmetry is called:
► Kurtosis
► Skewness ► Dispersion
► Flatness
Question No: 25 ( Marks: 1 ) - Please choose one
If E is an impossible event, then P(E) is:
► 0 (Page 146)
► 0.
Question No: 26 ( Marks: 1 ) - Please choose one
If a data set has the even number of observations, the median :
► Is the average value of the two middle items ► Can not be determined
► must be equal to the mean
► Is the average value of the two middle items when all items are arranged in ascending order
Click here for detail
Question No: 27 ( Marks: 1 ) - Please choose one
For the Poisson distribution
0.135 1
( 1) 1!
e P X
the mean value is :
► 2
► 5
►
► 0.135 (Page 222)
Question No: 28 ( Marks: 1 ) - Please choose one
In testing of hypothesis, we always begin it with assuming that:
► Null hypothesis is true (Page 277)
► Alternative hypothesis is true ► Sample size is large
► Population is normal
The mean of the F-distribution is:
1 1
1
forv v
v
2 2
2
forv v
v
(Page 312)
1 1
1
forv v
v
1 2
2
forv v
v
Question No: 3 ( Marks: 1 ) - Please choose one
The LSD test is applied only if the null hypothesis is:
► Rejected (Page 331)
► 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 (Page 320)
► Proportions
► Groups
Question No: 5 ( Marks: 1 ) - Please choose one
ANOVA was introduced by :
► Helmert
► Pearson
► R.A Fisher (Page 320) rep ► Francis
For testing of hypothesis about population proportion , we use:
► Z - test (Page 292) rep ► 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:
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) (Page 202)
► 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 (Page 212) rep
► 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)=
► P(E)=1/
► P(E)=1/
If f (x, y) is bivariate probability density function of continuous r.v.'s X and Y then
g x ( ) is:
f x y , dx
f x y , dy
f x y dx dy ,
(Page 199)
b d
a c
^ f^ x y^ dy dx
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 (Page 320) ► 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 distribu tion Click here for detail
► 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 click here for detail
► In all situations
The branch of Statistics that is concerned with the procedures and methodology for obtaining valid conclusions
is called:
► Descriptive Statistics
► Advance Statistics
► Inferential Statis tics (Page 237)
► 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 =
Click here for detail
Question No: 22 ( Marks: 1 ) - Please choose one
In normal distribution
► 3 (Page 119)
► 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 (Page 38) ► Historigram
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
P X ( Y 1)
► 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)
FINAL TERM EXAMINATION
Spring 2010
STA301- Statistics and Probability (Session - 3)
Question No: 1 ( Marks: 1 ) - Please choose one
The total number of samples when sampling is done with replacement :
n N (Page 237) rep
N Cn
N n
N
The test statistic used in analysis of variance procedure follow the ....... distribution.:
► χ
2
► T
► Z
► F (Page 326) rep
Question No: 3 ( 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 rep
► 1,3,3, ► 1, 2, 3
► 3, 2
Question No: 4 ( Marks: 1 ) - Please choose one
If X and Y are independent variables, then E (XY) is:
► E(XX)
► E(X).E(Y) (Page 202) rep
► X.E(Y)
► Y.E(X)
Question No: 5 ( Marks: 1 ) - Please choose one
The sample variance
2 2 (^ x^ x ) S n
is:
► Unbiased estimator of
2
► Biased estimator of
2 (Page 260) rep
► Unbiased estimator of
► None of these
