**331. If Var(θˆ)→0 as n → 0, then θˆ is said to be______________?**

A. Sufficient

B. Efficient

C. Unbiased**D. Consistent**

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

**A. Minimal sufficient statistic**

B. Sufficient statistic

C. Efficient

D. Minimax statistics

**333. Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. 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 ?**

**A. Independence Equation**

B. Sequential Probability Likelihood Equation

C. Neyman Pearson Lemma

D. Wald’s Equation

**334. For a biased estimator θˆ of θ, which one is correct_______________?**

A. MSE(θˆ)=SD(θˆ)+Bias**B. MSE(θˆ)=Var(θˆ)+Bias2**

C. MSE(θˆ)=SD(θˆ)+Bias2

D. MSE(θˆ)=Var(θˆ)+Bias

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

A. It is a function of some other set of sufficient statistics.**B. It is a function of every other set of sufficient**

C. It is a function of any sufficient statistics in the set.

D. It is not a function of every other set of sufficient statistics

**336. In a Wilcoxon Rank-Sum test__________________?**

**A. Ties within one sample may affect the decision**

B. Ties always affect the decision

C. Ties never affect the decision

D. Ties between the two sample may affect the decision

**337. When using the sign test, if two scores are tied, then_____________?**

A. We count them**B. We discard them**

C. We depends upon the scores

D. non of these

**338. Wilcoxon Rank-Sum test can be of_______________?**

A. Lower tailed

B. Upper tailed**C. Either of the above**

D. None of the above

**339. Which of the following test use Rank Sums____________?**

**A. Kruskal-Wallis and Wilcoxon tests**

B. Runs test

C. Chi-Square and sign test

D. F test

**340. if f(x1,x2,…xn;θ)=g(θˆ;θ)h(x1,x2,….,xn), then θˆ is____________?**

A. Consistent**B. Sufficient**

C. Efficient

D. Unbiased

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