statistics MCQs – Page 46

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 Review each marked answer and report any item that may be outdated or unclear.

statistics Mcqs

1. sample linear regression 2. normal distribution 3. presentation of data 4. statistical inference 5. measures of location 6. basic statistics 7. correlation and regression 8. sampling 9. binomial and hyper geometric probability 10. index number 11. hypothesis testing 12. measures of dispersion

901. 1 ? is the probability of_____________?
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A. Type-I error

B. Type-II Error

C. Acceptance Region

D. Rejection Region

902. Which of the following is simple hypothesis___________________?
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A. u ? 20

B. u 20

C. u = 20

903. The Estimation and testing of hypothesis are main branches of ________________?
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A. Regression

B. Probability distribution

C. Statistical Inference

D. Sampling

904. If E(?)=?, then ? is said to be_______________?
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A. Unbiased

B. Consistent

C. Sufficient

D. Efficient

905. Herbicide A has been used for years in order to kill a particular type of weed. An experiment is to be conducted in order to see whether a new herbicide, Herbicide B, is more effective than Herbicide A. Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more effective. The alternative hypothesis in this problem is_____________?
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A. Herbicide A is not more effective than Herbicide B

B. Herbicide B is not more effective than Herbicide A

C. Herbicide A is more effective than Herbicide B

D. Herbicide B is more effective than Herbicide A

906. if Var(?)?0 as n ? 0, then ? is said to be______________?
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A. Unbiased

B. Consistent

C. Efficient

D. Sufficient

907. Sample variance S2 is unbiased estimator of population variance 26 because ________________?
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A. E(S2) = s2

B. E(u) = X

C. E(P) = P

D. Ux = u

908. The t distribution are_____________?
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A. Same as Normal Curve

B. None of these

C. Skewed

D. Symmetrical

909. The Mann-Whitney U test is preferred to a t-test when____________?
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A. Data are paired

B. Sample are dependent

C. Sample sizes are small

D. The assumption of normality is not met

910. if Var(T2)_______________?
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A. Consistent

B. Sufficient

C. Unbiased

D. Efficient

911. Criteria to check a point estimator to be good are_____________?
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A. All Above

B. Efficiency

C. Unbiasedness

D. Consistency

912. The Runs test results in rejecting the null hypothesis of randomness when______________?
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A. None of these

B. Either of the above

C. There is an unusually small number of runs

D. There is an unusually large number of runs

913. Which of the following test is most likely assessing this null hypothesis: Ho The number of violations per apartment in the population of all city apartments is binomially distributed with a probability of success in any one trial of P=0.3 dd ?
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A. The Kolmogorove-Simirnor test

B. The Kruskal-Wallis test

C. The Wilcoxon Signed Rank test

D. The Mann-Whitney test

914. The first and starting point in test Hypothesis is ______________?
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A. stating Ho

B. stating H1

C. Test statistics

D. L of significance

915. Let X1,X2,Xn be a random sample from the density f(x;(?), where ? may be vector. If the conditional distribution of X1,X2,Xn given S=s does not depend on ? for any value of s of S, then statistic is called?
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A. Minimax statistics

B. Minimal sufficient statistic

C. Efficient

D. Sufficient statistic

916. Parameter is a _________ quantity?
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A. Constant

B. Non of these

C. All of above

D. Variable

917. if f(x1,x2,xn;?)=g(?;?)h(x1,x2,.,xn), then ? is____________?
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A. Efficient

B. Unbiased

C. Sufficient

D. Consistent

918. 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

919. 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

920. 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

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