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Solved Statistics MCQs
1. A process to get a single value as an estimate of parameter on the basis of sample observation is called:
A) Interval Estimation
B) Estimator
C) Point Estimation
D) All of these
2. ———— is an art of drawing conclusions about the unknown parameter on the basis of sample observation.
A) Statistical Inference
B) Sample
C) Sampling
D) None of these
3. The expected value of loss function is called:
A) Risk function
B) Posterior density
C) Prior density
D) None of these
4. We use Likelihood Ratio test to test H0: θ = θ0 Vs H1:
A) θ > θ0
B) θ ≠ θ0
C) θ < θ0
D) None of these
5. If θ ̂ is unbiased estimator of θ then Var (θ ̂) ———- MSE (θ ̂).
A) =
B) >
C) <
D) None of these
6. Non parametric test used to test the goodness of fit is:
A) Sign Test
B) Run Test
C) Kruskall Wallis Test
D) Kolmogorov Simornov Test
7. Run test is used to test the ————- of observations.
A) Mean
B) Median
C) Randomness
D) None of these
8. Wilcoxon Rank Sum test is a —————— test.
A) Parametric
B) Non Parametric
C) Both (A) & (B)
D) None of these
9. Bartlett’s test is used to test the equality of several population:
A) Correlations
B) Means
C) Variances
D) None of these
10. Goldfield Quandt test is used to detect:
A) Heteroscedasticity
B) Multicollinearity
C) Autocorrelation
D) Homoscedasticity
11. When an observation is incomplete deliberately then it is called:
A) Censoring
B) Truncation
C) Both (A) & (B)
D) None of these
12. A model in which lag values of regressors are also used as regressor, is called:
A) Autoregressive Model
B) Distributed Lag Model
C) Simple linear Regression Model
D) None of these
13. When an observation is incomplete due to some random cause then it is called
A) Censoring
B) Truncation
C) Both (A) & (B)
D) None of these
14. Statistical ————— deals with the conclusions about parameters through sample data.
A) Hypothesis
B) Inference
C) Methods
D) None of these
15. MLE becomes asymptotically efficient if n → :
A) 10
B) 12
C) 15
D) ∞
16. The repetition of the basic experiment is called:
A) Randomization
B) Replication
C) Local Control
D) None of these
17. The experimental units should be ———– in CR design.
A) Homogeneous
B) Heterogeneous
C) Both (A) & (B)
D) None of these
18. In Latin Square design ———– way variation is controlled.
A) One
B) Two
C) Three
D) Four
19. Basic principles of the experimental designs are:
A) Randomization
B) Replication
C) Local Control
D) All of these
20. If the different treatment combinations are confounded in different replications of a factorial experiment then it is called:
A) Complete confounding
B) Partial confounding
C) Both (A) & (B)
D) None of these
21. Any characteristic of population is called
A) Parameter
B) Statistic
C) Estimator
D) Estimate
22. Neyman allocation becomes exactly ————- allocation when the standard deviations of all strata are equal.
A) Equal
B) Optimum
C) Proportional
D) None of these
23. Ignoring f. p. c. Var(y ̅st)Ney = ————-.
A) (∑▒whS2h)/n
B) (∑▒whSh)/n
C) (∑▒w_h^2 S_h^2)/n
D) None of these
24. Var(y ̅st)opt ———— Var(y ̅ran).
A) =
B) ≠
C) >
D) ≤
25. Simple random sampling is suitable when population is:
A) Heterogeneous
B) Finite
C) Homogeneous
D) None of these
26. The central composite design is composed of
A) Factorial points
B) Axial points
C) Center points
D) All of these
View Answer
27. If the is equal at points equidistant from the center, design is called
A) First order
B) Orthogonal
C) Rotatable
D) None of these
28. If there are two treatments in Latin square design then error degree freedom will be:
A) 2
B) 4
C) 1
D) 0
29. In factorial experiment, Sign table method and Yates method give ————– results.
A) Same
B) Different
C) Both (A) & (B)
D) None of these
30. ——– censoring occurs when a subject leaves the study before an event occurs.
A) Left
B) Right
C) Both (A) & (B)
D) None of these
View Answer
31. M. D of normal deviation is:
A) 0.7979 σ
B) 0.6745 σ
C) σ
D) None of these
View Answer
32. When A and B are independent then P(A∩B) = —————.
A) P(B)
B) P(A)
C) P(A/B)
D) P(A). P(B)
View Answer
33. If Z is S.N.V then its mean is zero and variance is
A) σ2
B) σ
C) 1
D) 0
View Answer
34. If A & B are mutually exclusive events then A∩B = ————.
A) B
B) S
C) φ
D) A
View Answer
35. In rolling two fair dice, number of all possible elements are:
A) 36
B) 18
C) 12
D) 6
View Answer
36) Binomial probability distribution will be negatively skewed when
A) p > q
B) p < q
C) p = q
D) p ≠ q
View Answer
37. In poison distribution mean = 4 then its S.D will be
A) 4
B) 8
C) 16
D) 2
View Answer
38. In normal distribution β1 = 0 and β2 = ———-.
A) 1
B) 2
C) 3
D) 0
View Answer
39. Probability of occurrence an event never be:
A) Positive
B) Negative
C) 1
D) 0
View Answer
40. M_0(t) = 〖(1-βt)〗^(-α) is moment generating function of ———— probability dist.
A) Gamma
B) Beta type I
C) Beta Type II
D) Uniform
View Answer
41. ———– distribution is also called double exponential dist.
A) Gamma
B) Beta
C) Laplace
D) Uniform
View Answer
42. If f(x) = 2x, 0 < x < 1 then its F(x) will be
A) x
B) x2
C) 2×2
D) x3
View Answer
43. Mean does not exists of ————- probability distribution.
A) Gamma
B) Beta
C) Cauchy
D) Uniform
View Answer
44. f(x) = 1/θ e^(〖-x/〗_θ ), x≥0 is p.d.f of ————— probability distribution.
A) Exponential
B) Gamma
C) Uniform
D) Beta
View Answer
45. If M.D = (β-α)/4 then it is ————— probability distribution.
A) Gamma
B) Beta type I
C) Beta Type II
D) Uniform
View Answer
46. Correlation coefficients is ————- of two regression coefficients.
A) A. M
B) G. M
C) H. M
D) All of these
View Answer
47. Correlation coefficient lies between
A) -1 and +1
B) 0 and 1
C) -1 and 0
D) -0.5 and 0.5
View Answer
48. One of the classical assumptions to apply OLS is Cov (Ui, Uj) = ——–.
A) Positive
B) Negative
C) 0
D) None of these
View Answer
49. If there exist a linear relationship among regressors (x’s) there is:
A) Heteroscedasticity
B) Multicollinearity
C) Autocorrelation
D) None of these
View Answer
50. If Ui is error term in simple linear regression model and Cov (Ui, Uj) ≠ 0, there is:
A) Heteroscedasticity
B) Multicollinearity
C) Autocorrelation
D) None of these
View Answer
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