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

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

941. Type II error is committed when the null hypothesis is _________________?
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A. Rejected when it is true

B. Accepted when it is false

C. Rejected when it is false

D. Accepted when it is true

942. In hypothesis testing probability of (alpha +beta) =1?
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A. Increase

B. No

C. Decrease

D. Yes

943. 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______________?
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A. Unbiased

B. Consistent

C. Efficient

D. Sufficient
944. __________ is the process of using sample information to reach?
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A. Increase

B. Biased

C. Unbiased

D. Population

945. Sample proportion P is __________ estimator?
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A. Parameter

B. Unbiased

C. None of these

D. Biased

946. A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?
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A. 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.

947. Sampling Error decrease by _______ the sample size?
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A. Sampling

B. Population

C. Increase

D. Decrease

948. The Wilcoxon, Rank-Sum test used to compares_______________?
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A. Two populations

B. Three populations

C. A sample mean to the population mean

D. Any number of populations

949. 95% confidence limits for P are _________________?
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A. P1.96 p2q2/?n

B. P1.65(pq/n)

C. P1.96?p2q2/n

D. P2.18?p2q2/n

950. Combine mean calculated by different given mean is ________?
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A. ?n1x/x1

B. n1x1 + n2x2x + _____ nuxu/n1 + n2 + ___+ nu

C. n1x1 + n2x2x + _____ nuxu/n1 +n2 + ___ + nu

D. n1x1 + n2x2x + _____ nuxu/x1 + x2 + ____ x4