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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 | |