Explore topic-wise MCQs in Statistics Mcqs.

This section includes 70 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics Mcqs knowledge and support exam preparation. Choose a topic below to get started.

51.

The first and starting point in test Hypothesis is ______________?

A. stating H1
B. stating Ho
C. L of significance
D. Test statistics
Answer» C. L of significance
52.

If E(θˆ)=θ, then θˆ is said to be_______________?

A. Unbiased
B. Consistent
C. Sufficient
D. Efficient
Answer» B. Consistent
53.

Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as_________________E[∏(θ)ιX1,X2,…..,Xn] is called?

A. Posterior Bay’s estimator
B. Minimax estimator
C. Bay’s estimator
D. Sufficient estimator
Answer» B. Minimax estimator
54.

A test is said to be most powerful test of size α, if_______________?

A. Among all other test of size α or less it has the largest power
B. Among all other test of size α or greater it has the largest 1 – α
C. Among all other test of size α or greater it has the smallest power
D. Among all other test of size α or greater it has the largest β
Answer» B. Among all other test of size α or greater it has the largest 1 – α
55.

An estimator Q is an unbiased estimator of the population parameter Q if ___________________?

A. E(x) = µ
B. E(Q) =Q
C. E(Q) =Q
D. E(P) = P
Answer» C. E(Q) =Q
56.

Sample proportion P is __________ estimator?

A. Biased
B. Parameter
C. Unbiased
D. None of these
Answer» D. None of these
57.

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
Answer» C. Consistent
58.

if Var(T2)_______________?

A. Efficient
B. Sufficient
C. Unbiased
D. Consistent
Answer» B. Sufficient
59.

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
Answer» C. We depends upon the scores
60.

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.
Answer» C. It is a function of any sufficient statistics in the set.
61.

Sampling Error decrease by _______ the sample size?

A. Increase
B. Decrease
C. Sampling
D. Population
Answer» E.
62.

A_______ is the specific value of the statistic used to estimate the population parameter?

A. Point estimator
B. C.I.
C. Estimator
D. None of these
Answer» B. C.I.
63.

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

A. Q
B. X
C. Ux
D. u
Answer» E.
64.

95% confidence limits for P are _________________?

A. P±2.18√p2q2/n
B. P±1.65(pq/n)
C. P±1.96 p2q2/√n
D. P±1.96√p2q2/n
Answer» E.
65.

___________ is a value of sample statistics?

A. Estimate
B. Estimator
C. Probability
D. Numerical
Answer» B. Estimator
66.

The Estimation and testing of hypothesis are main branches of ________________?

A. Sampling
B. Probability distribution
C. Regression
D. Statistical Inference
Answer» E.
67.

The Spearman Rank-Correlation test requires that the______________?

A. Data must be measured on the same scale
B. Data should be of ordinal scale at least
C. Data must be distribution at least approximately as a t-distribution
D. Data must be from two independent samples
Answer» C. Data must be distribution at least approximately as a t-distribution
68.

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
Answer» C. MSE(θˆ)=SD(θˆ)+Bias2
69.

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
Answer» C. Quantitative
70.

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
Answer» B. Ties always affect the decision