statistics MCQs – Page 47

Practise multiple-choice questions from statistics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

921. 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

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

B. Mean

C. Variance

D. Standard Deviation

923. 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.

924. 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

925. 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

926. 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
927. 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

928. 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

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

B. Q ? Qo

C. Q ? Qo

D. Q ? Qo

930. 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

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

B. Parameter

C. C.I.

D. Point estimator

932. 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

933. 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

934. 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

935. 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

936. 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
937. Which of the following is an assumption underlying the use of the t-distribution ?
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A. s (sample standard deviation) is an unbiased estimate of the population variance.

B. All above

C. The sample are drawn from a normally distributed population.

D. The variance of the population is known

938. Wilcoxon Rank-Sum test can be of_______________?
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A. Either of the above

B. Lower tailed

C. Upper tailed

D. None of the above

939. An alternative non parametric test of ANOVA?
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A. Median test

B. Sign test

C. Kruskal Wallis test

D. Wilcoxon sign rank test

940. We use non parametric tests when the data is_________?
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A. Qualitative

B. Ranked

C. Both a and b

D. None of these