**A. Greater the degree of freedom, the more the t-distribution resembles the standard normal distribution**

B. The Normal Curve is symmetrical whereas the t-distribution are slightly skewed.

C. The proportion of area beyond a specific value of “t” is less than the proportion of normal curve

D. Non of these

# Statistical Inference Mcqs

## Sample proportion P is __________ estimator?

A. Biased

B. Parameter

**C. Unbiased**

D. None of these

## what is the probability of a type II error when α=0.05 ?

A. 0.025

B. 0.95

C. 0.05

**D. Cannot be determined without more information**

## To perform a Runs test for randomness the data must be_______________?

A. Divided into at least two classifications

**B. Divided into exactly two classifications**

C. Quantitative

D. Qualitative

## The values that separate the region of rejection and acceptance region are called _______________?

**A. Critical value**

B. Confidence limits

C. Confidence boundaries

D. None of these

## Since E(X) _______X is said to be unbiased estimator of the population mean?

A. Q

B. X

C. Ux

**D. u**

## Sample variance S2 is unbiased estimator of population variance 26 because ________________?

A. E(S2) = s2

B. E(u) = X

**C. E(P) = P**

D. Ux = u

## 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

## The critical value of a test statistic is determined from_____________?

A. The sampling distribution of the statistics assuming Null Hypothesis

B. calculations based on many actual repetitions of the same Experiment

**C. The sampling distribution of the statistic assuming Alternative Hypothesis.**

D. Non of these

## If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called______________?

A. Unbiased

**B. Sufficient**

C. Consistent

D. Efficient