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statistical inference MCQs

Practise focused statistical inference questions with marked answers for exam preparation and subject revision.

statistical inference Mcqs

1. The critical value of a test statistic is determined from_____________?
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A. The sampling distribution of the statistic assuming Alternative Hypothesis.

B. Non of these

C. The sampling distribution of the statistics assuming Null Hypothesis

D. calculations based on many actual repetitions of the same Experiment

2. The hypothesis which is being tested is called ___________________?
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A. Null hypothesis

B. Composite hypothesis

C. Alternative hypothesis

D. Simple hypothesis

3. The non parametric equivalent of an unpaired samples t-test____________?
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A. Mann-Whitney U test

B. Kruskal Wallis Test

C. Sign test

D. Wilcoxon signed rank test

4. For a biased estimator ? of ?, which one is correct_______________?
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A. MSE(?)=Var(?)+Bias

B. MSE(?)=SD(?)+Bias

C. MSE(?)=Var(?)+Bias2

D. MSE(?)=SD(?)+Bias2

5. x=40 is estimator of _________________?
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A. 6

B. Ux

C. 6/?n

D. (U)

6. Three brands of coffee are rated for tasted on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations.The appropriate test to tasted equally good is_____________?
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A. Kruskal-Wallis test

B. Wilcoxon Rank-Sum test

C. Spearman Rank difference

D. One way analysis of variance (ANOVA)

7. A_______ is the specific value of the statistic used to estimate the population parameter?
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A. None of these

B. Point estimator

C. Estimator

D. C.I.

8. E(x1 x2)= ___________________?
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A. 6x x2

B. 62 x2

C. ux x2

D. u1 u2

9. If n = 400 and P=.69 then 90% C.I for P is _________________?
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A. .798 and .745

B. .314 and .652

C. None of these

D. 652 and . 728

10. When testing for randomness, we can use_____________?
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A. None of these

B. Runs test

C. D Mann-Whitney U test

D. Sign test

11. for two estimators T1=t1(X1,X2,.Xn) and T1=t1(X1,X2,.Xn) then estimators t1 is defined to be Rt1(?)?Rt2(?) for all ? in ? ?
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A. Admissible estimator

B. Sufficient estimator

C. Minimax estimator

D. Consistent estimator

12. Which of the following test must be two-sided ?
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A. Runs test

B. Sign test

C. Kruskal-Wallis

D. Wilcoxon Signed Rank

13. The minimum variance unbiased estimator of the population mean is _______________?
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A. S/?n

B. 6x/?n

C. S2/n

D. 6/?n

14. To perform a Runs test for randomness the data must be_______________?
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A. Divided into at least two classifications

B. Divided into exactly two classifications

C. Qualitative

D. Quantitative

15. For t distribution, increasing the sample size, the affect will be on ?
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A. Standard Error of the Means

B. Degrees of Freedom

C. The t-ratio

D. All Above

16. An estimator Q is an unbiased estimator of the population parameter Q if ___________________?
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A. E(Q) =Q

B. E(x) =

C. E(Q) =Q

D. E(P) = P

17. Comparing the times to failure of radar transponders made by firms A, B, and C based on an airlines sample experience with the three types of instruments one may use____________?
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A. Kruskal-Wallis test

B. Spearman Rank Correlation test

C. Wilcoxon Rank-Sum test

D. Kolmogorov-Smirnor test

18. The Spearman Rank-Correlation test requires that the______________?
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A. Data must be from two independent samples

B. Data must be measured on the same scale

C. Data should be of ordinal scale at least

D. Data must be distribution at least approximately as a t-distribution

19. The sign test assumes that the_______________?
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A. The Wilcoxon Signed Rank test is used

B. Sample are dependent

C. Samples are independent

D. Samples have same mean

20. Power of test is denoted by _______________?
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A. ?

B. (1 ?)

C. (1 ? )

D. ?

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