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Types of Statistics MCQs |
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Basic Statistical Inference MCQs |

Probability Distributions MCQs |

Sampling Techniques MCQs |

Statistical Packages MCQs for Social Science |

Statistical Methods MCQs |

Survival Analysis MCQS |

Regression Analysis MCQs |

Operations Research MCSQ |

Statistical Quality Control MCQs |

**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

**View Answer**

**C) Point Estimation**

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

**View Answer**

**A) Statistical Inference**

3. The expected value of loss function is called:

A) Risk function

B) Posterior density

C) Prior density

D) None of these

**View Answer**

**A) Risk function**

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

**View Answer**

**B) θ ≠ θ0**

5. If θ ̂ is unbiased estimator of θ then Var (θ ̂) ———- MSE (θ ̂).

A) =

B) >

C) <

D) None of these

**View Answer**

**A) =**

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

**View Answer**

**D) Kolmogorov Simornov Test**

7. Run test is used to test the ————- of observations.

A) Mean

B) Median

C) Randomness

D) None of these

**View Answer**

**C) Randomness**

8. Wilcoxon Rank Sum test is a —————— test.

A) Parametric

B) Non Parametric

C) Both (A) & (B)

D) None of these

**View Answer**

**B) Non Parametric**

9. Bartlett’s test is used to test the equality of several population:

A) Correlations

B) Means

C) Variances

D) None of these

**View Answer**

**C) Variances**

10. Goldfield Quandt test is used to detect:

A) Heteroscedasticity

B) Multicollinearity

C) Autocorrelation

D) Homoscedasticity

**View Answer**

**A) Heteroscedasticity**

11. When an observation is incomplete deliberately then it is called:

A) Censoring

B) Truncation

C) Both (A) & (B)

D) None of these

**View Answer**

**C) Both (A) & (B)**

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

**View Answer**

**B) Distributed Lag Model**

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

**View Answer**

**A) Censoring**

14. Statistical ————— deals with the conclusions about parameters through sample data.

A) Hypothesis

B) Inference

C) Methods

D) None of these

**View Answer**

**B) Inference**

15. MLE becomes asymptotically efficient if n → :

A) 10

B) 12

C) 15

D) ∞

**View Answer**

**D) ∞**

16. The repetition of the basic experiment is called:

A) Randomization

B) Replication

C) Local Control

D) None of these

**View Answer**

**B) Replication**

17. The experimental units should be ———– in CR design.

A) Homogeneous

B) Heterogeneous

C) Both (A) & (B)

D) None of these

**View Answer**

**A) Homogeneous**

18. In Latin Square design ———– way variation is controlled.

A) One

B) Two

C) Three

D) Four

**View Answer**

**B) Two**

19. Basic principles of the experimental designs are:

A) Randomization

B) Replication

C) Local Control

D) All of these

**View Answer**

**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

**View Answer**

**B) Partial confounding**

21. Any characteristic of population is called

A) Parameter

B) Statistic

C) Estimator

D) Estimate

**View Answer**

**A) Parameter**

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

**View Answer**

**C) Proportional**

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

**View Answer**

**D) None of these**

24. Var(y ̅st)opt ———— Var(y ̅ran).

A) =

B) ≠

C) >

D) ≤

**View Answer**

**D) ≤**

25. Simple random sampling is suitable when population is:

A) Heterogeneous

B) Finite

C) Homogeneous

D) None of these

**View Answer**

**C) Homogeneous**

26. The central composite design is composed of

A) Factorial points

B) Axial points

C) Center points

D) All of these

**View Answer**

**D) All of these**

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

**View Answer**

**C) Rotatable**

28. If there are two treatments in Latin square design then error degree freedom will be:

A) 2

B) 4

C) 1

D) 0

**View Answer**

**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

**View Answer**

**A) Same**

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**

**B) Right**

31. M. D of normal deviation is:

A) 0.7979 σ

B) 0.6745 σ

C) σ

D) None of these

**View Answer**

**A) 0.7979 σ**

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**

**D) P(A). P(B)**

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**

**C) 1**

34. If A & B are mutually exclusive events then A∩B = ————.

A) B

B) S

C) φ

D) A

**View Answer**

**C) φ**

35. In rolling two fair dice, number of all possible elements are:

A) 36

B) 18

C) 12

D) 6

**View Answer**

**A) 36**

36) Binomial probability distribution will be negatively skewed when

A) p > q

B) p < q

C) p = q

D) p ≠ q

**View Answer**

**A) p > q**

37. In poison distribution mean = 4 then its S.D will be

A) 4

B) 8

C) 16

D) 2

**View Answer**

**D) 2**

38. In normal distribution β1 = 0 and β2 = ———-.

A) 1

B) 2

C) 3

D) 0

**View Answer**

**C) 3**

39. Probability of occurrence an event never be:

A) Positive

B) Negative

C) 1

D) 0

**View Answer**

**B) Negative**

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**

**A) Gamma**

41. ———– distribution is also called double exponential dist.

A) Gamma

B) Beta

C) Laplace

D) Uniform

**View Answer**

**C) Laplace**

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**

**B) x2**

43. Mean does not exists of ————- probability distribution.

A) Gamma

B) Beta

C) Cauchy

D) Uniform

**View Answer**

**C) Cauchy**

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**

**A) Exponential**

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**

**D) Uniform**

46. Correlation coefficients is ————- of two regression coefficients.

A) A. M

B) G. M

C) H. M

D) All of these

**View Answer**

**B) G. M**

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**

**A) -1 and +1**

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**

**C) 0**

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**

**B) Multicollinearity**

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**

**C) Autocorrelation**

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