statistical inference MCQs – Page 3

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

statistical inference Mcqs
41. if f(x1,x2,xn;?)=g(?;?)h(x1,x2,.,xn), then ? is____________?
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A. Efficient

B. Unbiased

C. Sufficient

D. Consistent

42. Let X1,X2,,Xn be a random sample from a density,,,, f(x ? ?) where ? is a value of the random variable ?with known density g?(?) Then the estimator ?(?) with/ respect to the prior g?(?) is define as______________E[?(?)?X1,X2,..,Xn] is called?
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A. Posterior Bays estimator

B. Sufficient estimator

C. Bays estimator

D. Minimax estimator

43. Let X1,X2,,Xn be a random sample from a density,,,, f(x ? ?) where ? is a value of the random variable ?with known density g?(?) Then the estimator ?(?) with/ respect to the prior g?(?) is define as_________________E[?(?)?X1,X2,..,Xn] is called?
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A. Minimax estimator

B. Sufficient estimator

C. Posterior Bays estimator

D. Bays estimator

44. The values that separate the region of rejection and acceptance region are called _______________?
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A. Confidence boundaries

B. None of these

C. Critical value

D. Confidence limits

45. When using the sign test, if two scores are tied, then_____________?
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A. We count them

B. We depends upon the scores

C. We discard them

D. non of these

46. Consistency of an estimator can be checked by comparing____________?
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A. mean Square Error

B. Mean

C. Variance

D. Standard Deviation

47. Which of the following is a true statement for comparing the t distribution with standard normal ?
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A. The proportion of area beyond a specific value of t is less than the proportion of normal curve

B. Non of these

C. Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution

D. The Normal Curve is symmetrical whereas the t-distribution are slightly skewed.

48. If we reject the null hypothesis, we might be making____________?
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A. Type-II Error

B. Type-Error

C. A correct Decision

D. Unpredictable

49. In a Wilcoxon Rank-Sum test__________________?
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A. Ties within one sample may affect the decision

B. Ties never affect the decision

C. Ties always affect the decision

D. Ties between the two sample may affect the decision

50. what is the probability of a type II error when ?=0.05 ?
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A. 0.025

B. 0.05

C. 0.95

D. Cannot be determined without more information
51. Which of the following test use Rank Sums____________?
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A. F test

B. Runs test

C. Kruskal-Wallis and Wilcoxon tests

D. Chi-Square and sign test

52. Let Z1,Z2,.Zn be independent and identically distributedrandom variable, satisfying E[? Zt ?]<?. Let N be an integer valued random variable whose value n depends only on the values of the first n Z's. Suppose E(N)< ?, then E(Z1,Z2,.Zn)=E(N)E(Z) is called ?
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A. Neyman Pearson Lemma

B. Sequential Probability Likelihood Equation

C. Independence Equation

D. Walds Equation

53. Which of the following cannot be Ho_________________?
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A. Q = Qo

B. Q ? Qo

C. Q ? Qo

D. Q ? Qo

54. Since E(X) _______X is said to be unbiased estimator of the population mean?
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A. Ux

B. X

C. u

D. Q

55. _________ is an estimate expressed by a single value?
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A. Point estimate

B. Parameter

C. C.I.

D. Point estimator

56. condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is ?
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A. N(1 p) > 5

B. 2 n 5

C. n > 30

D. N < 30

57. 95% confidence limits u are ________________?
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A. 1.96 6/?n

B. x1.96 6/?n

C. u1.95 S/?n

D. x1.65 6/?n

58. A quantity obtained by applying certain rule or formula is known as ________________?
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A. Test Statistics

B. Estimator

C. Estimate

D. Estimation

E. Sample

59. In testing for the difference between two populations, it is possible to use____________?
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A. Either of the above

B. None of the above

C. The Sign test

D. The Wilcoxon Rank-Sum test

60. A test is said to be most powerful test of size ?, if_______________?
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A. Among all other test of size ? or greater it has the largest 1 ?

B. Among all other test of size ? or greater it has the smallest power

C. Among all other test of size ? or greater it has the largest ?

D. Among all other test of size ? or less it has the largest power