statistical inference Mcqs
51. Which of the following test use Rank Sums____________? 
0
0A. 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 ? 0
0A. Neyman Pearson Lemma
B. Sequential Probability Likelihood Equation
C. Independence Equation
D. Walds Equation
53. Which of the following cannot be Ho_________________? 0
0A. Q = Qo
B. Q ? Qo
C. Q ? Qo
D. Q ? Qo
55. _________ is an estimate expressed by a single value? 0
0A. 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 ? 0
0A. N(1 p) > 5
B. 2 n 5
C. n > 30
D. N < 30
57. 95% confidence limits u are ________________? 0
0A. 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 ________________? 0
0A. Test Statistics
B. Estimator
C. Estimate
D. Estimation
E. Sample
59. In testing for the difference between two populations, it is possible to use____________? 0
0A. 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_______________? 0
0A. 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
61. Which of the following is an assumption underlying the use of the t-distribution ? 0
0A. 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
62. Wilcoxon Rank-Sum test can be of_______________? 0
0A. Either of the above
B. Lower tailed
C. Upper tailed
D. None of the above
63. An alternative non parametric test of ANOVA? 0
0A. Median test
B. Sign test
C. Kruskal Wallis test
D. Wilcoxon sign rank test
64. We use non parametric tests when the data is_________? 0
0A. Qualitative
B. Ranked
C. Both a and b
D. None of these
65. Type II error is committed when the null hypothesis is _________________? 0
0A. Rejected when it is true
B. Accepted when it is false
C. Rejected when it is false
D. Accepted when it is true
66. In hypothesis testing probability of (alpha +beta) =1? 0
0A. Increase
B. No
C. Decrease
D. Yes
67. If the conditional distribution of X1,X2,..Xn given S=s, does not depends on ?, for any value of S=s the statistics S=s(X1,X2,..Xn) is called______________? 0
0A. Unbiased
B. Consistent
C. Efficient
D. Sufficient
68. __________ is the process of using sample information to reach? 0
0A. Increase
B. Biased
C. Unbiased
D. Population
69. Sample proportion P is __________ estimator? 0
0A. Parameter
B. Unbiased
C. None of these
D. Biased
70. A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________? 0
0A. It is a function of every other set of sufficient
B. It is a function of any sufficient statistics in the set.
C. It is not a function of every other set of sufficient statistics.
D. It is a function of some other set of sufficient statistics.
71. Sampling Error decrease by _______ the sample size? 0
0A. Sampling
B. Population
C. Increase
D. Decrease
72. The Wilcoxon, Rank-Sum test used to compares_______________? 0
0A. Two populations
B. Three populations
C. A sample mean to the population mean
D. Any number of populations
73. 95% confidence limits for P are _________________? 0
0A. P1.96 p2q2/?n
B. P1.65(pq/n)
C. P1.96?p2q2/n
D. P2.18?p2q2/n
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