1. The axiomatic definition of probability was proposed by

R.A. Fisher

Bernoulli

Kolmogorov

Gauss
2. If B A then it is true that

P P

P P

P P

P 0
3. When three symmetric dice are rolled at a time the chance of getting a sum of the number shown up as 12 will be

8

25/216

1/12

8/216
4. The probability of an impossible event is

1/2

1

0

0.9973
5. The probability obtained by Bayes theorem is

Apriori probability

Absolute probability

Conditional probability

Posterior probability
6. If is a Probability Distribution Function then is

0

1/2

1


7. If X is a continuous random variable then P(X

1

0

0.5

Any value between 0 and 1
8. In the usual notation is called

Conditional density

Marginal density

Joint density

Cumulative density
9. If C K are constants then V(CX



K

C2V(X)

0
10. The moment generating function of X is equal to

E(eitx)

E(etx)

E(e itx)

tx
11. The product moment of X and Y is given by








12. If A and B are any two events and 2/5 and P(AuB) then P(A BC is

1/10

4/5

3/10

3/5
13. In the usual notation, P(X for Binomial Distribution is

p)n

pn

1

p(1
14. The coefficient of variation of Poisson Distribution with mean will be

2

1



2
15. If X and Y follows Poisson Distribution with means m1 and m2 then the distribution of Y)is

Poisson with mean (m1 m2)

Poisson with mean (m1 m2)

Poisson with mean (m1m2)

Not Poisson at all
16. A discrete distribution having memoryless property is

Binomial

Hypergeometric

Geometric

Negative Binomial
17. The MGF of Poisson distribution with parameter λ is

eλt 1

eλ(et

eλ(eit

eiλ(et
18. The variance of continuous uniform distribution between 0 b is

b2/2

b/6

b2/6

b2/12
19. If an exponential distribution has mean its variance is

4

1/2

2

2
20. The number of failures before the rth success in a series of independent Bernoulli trials follows

Binomial

Negative Binomial

Geometric

Uniform
21. In the usual notation Gamma is equal to

1





0
22. In a normal distribution the area covered between mean and 2 S.Ds. is

99.73%

95%

64.5%

50%
23. The distribution of the sum of n-independent exponential variates will be

Gamma

Exponential

Normal

Beta
24. The number of parameters in Bivariate normal is

4

6

5

2
25. The limiting distribution used in Central Limit Theorem is

Beta

Normal

Gamma

Cauchy
26. Classification of data according to time becomes

Qualitative

Quantitative

Geographical

Chronological
27. A class frequency divided by total frequency becomes

Relative frequency

Frequency density

Cumulative frequency

Conditional frequency
28. One of the following diagrams is suitable for presenting percentage share of components

Bar chart

Pie chart

Line chart

Histogram
29. Cumulative frequencies are necessary to draw

Histogram

Ogive

Line chart

Scatter diagram
30. The AM of the values 1}is

6

1.5

0

2
31. In the usual notation the Harmonic Mean is given by

Σf Σ (xi fi

Σ (fi xi Σf i

Σ fi/Σ (fi xi

Σ fi xi/ Σ fi
32. The standard deviation of is

2

2

0

4
33. The percentage of data values above the third quartile is

25%

50%

75%

100%
34. For a symmetric distribution, the skewness coefficient is

1

3

0


35. If the coefficient of Kurtosis is negative, then the distribution is

Leptokurtic

Platykurtic

Mesokurtic

Any of these
36. The chart used to understand the nature of correlation is

Pie chart

Ogive

Scatter chart

Line chart
37. One of the following is only true about correlation coefficient

r 1

r 1

1 r 1

r 0
38. If r 0.90 then the coefficient determination is

root 0.90

(0.90)2

1/0.90

1 (0.90)
39. In the usual notation the relationship between the regression coefficients and correlation coefficient is

r

r ± root bxy byx



r ± root bxy/ byx
40. The coefficient of association between two independent attributes is equal to

1

1

0

0.50
41. If X σ2) the standard error of X =Σx n is

σ2/n

σ2/root n

σ/root n

σ
42. Test for goodness of fit is based on

t Distribution

Normal Distribution

Chi-square distribution

F-Distribution
43. For a paired t-test of means with a sample of 20, the degrees of freedom are

18

19

20

None of these
44. Student's t-test was proposed by

R.A. Fisher

Suedecur

Cochran

Gosset
45. The value of skewness for student's t-distribution is

1

1

0


46. For large degrees of freedom the t-distribution tends to

Normal

Chi-square

Log Normal

None of these
47. The relationship between t and F statistics is

t F/2

t2 F

t2 F

t 1/F
48. For a × contingency table the degrees of freedom for chi-square test of independence, are

12

9

8

6
49. In ANOVA the null hypothesis relates to the comparison of

Means

Variances

Proportion

Standard deviations
50. One of the following is not an order statistic

Maximum

Mean

Minimum

Median
51. Any statistical test is said to be unbiased if for that test

Power Size 0

Power Size 0

Power Size

Power Size
52. If X σ2) and x is the sample size then a sufficient statistic for x¯ is

(xn xi)

Σxi

Σ(xi x¯

None of these
53. If tn is an estimator of then Cramer-Rao's inequality provides a lower bound on





Max(tn)

Min(tn)
54. For an unbiased estimator tn, if →0 as n it is called

Efficient

Sufficient

Consistent

All these
55. Rao-Blackwell theorem deals with

Ratio estimation

Level of significance

Sufficient Statistic

Confidence intervals
56. Let X be a standard Normal random variable and Y is a Chi-square random variable with 3 degrees of freedom. Assuming that random variables X and Y are independently distributed, then distribution of X/root Y/3 is

Chi-square distribution

Cauchy distribution

t distribution

Normal distribution
57. BLUE stands for

Best Linear Uniform Estimator

Best likelihood Unbiased Estimator

Bayes Linear Unbiased Estimator

Best Linear Unbiased Estimator
58. If V1 is the variance of the most efficient estimator T1 and V2 is the variance of any other estimate T2, then the efficiency T2 is given by

V1/V2

V2/V1

V1 V2

V2 V1
59. MLE of θ when a sample of observations is drawn from the population having pdf f θe xθ x 0 is

x



s2

(s2
60. Number of conditions for mutual independence of n events are

2n

2n n 1

3n

3n n
61. If x is the mean of Binomial Distribution B then it is

Sufficient statistic for p

Efficient estimator of p

Both and

Neither nor
62. The hypothesis H1 is

Right sided

Left sided

Two-sided

Any of these
63. The set of values of the test statistic, which support the rejection of Null Hypothesis is called

Power

LOS

Critical region

Confidence Interval
64. The probability of committing type II Error is denoted by

α

1 α

1 β

β
65. In the usual notation the one-sample t-test is based on



x σ/root n

x s root n

x σ root n
66. For large samples the test for comparing two proportions is based on distribution.

Poisson

Binomial

Standard Normal

t
67. For any one-sided Z-test the critical value at level of significance is equal to

1.28

2.33

1.96

1.645
68. The test for comparing two variances for equality is based on

χ2-Distribution

F-Distribution

Normal Distribution

t-Distribution
69. For a two sample t-test for means with n1 12 and n2 the degrees of freedom are

12

10

20

21
70. The size of the critical region is known as

Power of test

Critical value

Level of significance

Test range
71. For large the mean of Wilcoxon's Signed Rank test is

n(n

n(n

n(2n

n(n
72. The number of runs in the sequence FFFMMM is

6

1

2

Can't say
73. Wilcoxon test is considered as analogous to

One-sample t-test

Two-sample t-test

Two-sample F-test

Goodness of fit test
74. The mean of number of runs U in run test is given by

N





N/2
75. The non-parametric test for goodness of fit of a distribution is

Run test

Kolmogorov-Smimov test

U-test

Sign test
76. Prestige bias and self interest of respondent leads to

Response error

Non-response error

Grouping error

Standard error
77. Simple Random Sampling is applicable when the population units are

Clustered

Homogeneous

Heterogeneous

Few in number
78. Consider a sample of drawn from a population of size by simple random sampling. Then, the probability of drawing a specified unit of the population is

1/n

1/N

n/N

N/n
79. In the context of sampling the fraction n/N is called

Sampling fraction

Sampling frame

Sampling ratio

None of these
80. Number of total samples of size n which can be drawn from a population of size N under simple random sampling with replacement is

n/N

N n

n N



81. The unbiased estimator of population mean Y¯ under stratified sampling is

Σ Nh yh/N

Σ Nh Yh/N

Σ nh yh

Σ nh yh/n
82. In the usual notation one of the following is only true

VSRS VPROP VOPT

VOPT VPROP VSRS

VSRS VOPT VPROP

None of the above
83. In the usual notation the finite population correction is

N − n






84. With SRSWOR from a finite population of size the variance of proportion is









85. In systematic sampling with k k is called

Sampling interval

Sampling frame

Sampling size

Sampling ratio
86. In a two way analysis of variance with 4 treatments, 5 blocks and 3 observations per cell, the error degrees of freedom are

38

39

40

41
87. A necessary condition for a symmetrical BIBD, assuming the number of treatments as even, is that λ) must be

Perfect Square

Infinite

Positive Integer

Negative Integer
88. The first census in India was held in

1827

1872

1892

1897
89. In the context of census 2010, NPR stands for

New Population Register

National Population Register

National People Register

New Population Rolls
90. The statistical test used to compare the means of three or more independent groups is

Z-test

Paired t-test

ANOVA

Run Test
91. In 33 design the error degrees of freedom with 5 replicates are

108

106

104

102
92. The principle used to estimate experimental error is

Local control

Randomization

Replication

Blocking
93. Two way ANOVA is used in the analysis of

RBD

CRD

LSD

All these
94. In the usual notation the expression for the missing value in a m × m LSD is








95. In the ascending order of efficiency, the following order of basic designs is true

CRD, LSD, RBD

CRD, RBD, LSD

RBD, CRD, LSD

RBD, LSD, CRD
96. The error degrees of freedom in a 2n factorial with r-replicates are



r 2n

(2n

(2n
97. In the usual notation interaction AB in 22 factorial design is given by:








98. In a 23 design when ABC interaction is confounded, each block contains treatment combinations.

8

2

4

3
99. A BIBD is said to be symmetric if

b V and r K

b V and r K

b V and r K

b V and r K
100. In a symmetric BIBD the number of treatments common to any two blocks is

λ2



λ

λ/V