MCQOPTIONS
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MCQOPTIONS
This section includes 69 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
If E(θˆ)=θ, then θˆ is said to be_______________? |
| A. | Unbiased |
| B. | Consistent |
| C. | Sufficient |
| D. | Efficient |
| Answer» B. Consistent | |
| 52. |
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_____________? |
| A. | Herbicide A is more effective than Herbicide B |
| B. | Herbicide A is not more effective than Herbicide B |
| C. | Herbicide B is more effective than Herbicide A |
| D. | Herbicide B is not more effective than Herbicide A |
| Answer» E. | |
| 53. |
for two estimators T1=t1(X1,X2,….Xn) and T1=t1(X1,X2,….Xn) then estimators t1 is defined to be Rt1(θ)≤Rt2(θ) for all θ in Θ ? |
| A. | Consistent estimator |
| B. | Admissible estimator |
| C. | Sufficient estimator |
| D. | Minimax estimator |
| Answer» C. Sufficient estimator | |
| 54. |
For t distribution, increasing the sample size, the affect will be on ? |
| A. | Standard Error of the Means |
| B. | The t-ratio |
| C. | Degrees of Freedom |
| D. | All Above |
| Answer» E. | |
| 55. |
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 | |
| 56. |
E(x1 – x2)= ___________________? |
| A. | ux – x2 |
| B. | u1 – u2 |
| C. | 6x – x2 |
| D. | 6×2 – x2 |
| Answer» C. 6x – x2 | |
| 57. |
Criteria to check a point estimator to be good are_____________? |
| A. | Consistency |
| B. | All Above |
| C. | Unbiasedness |
| D. | Efficiency |
| Answer» C. Unbiasedness | |
| 58. |
Consistency of an estimator can be checked by comparing____________? |
| A. | Standard Deviation |
| B. | Mean |
| C. | mean Square Error |
| D. | Variance |
| Answer» E. | |
| 59. |
condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is ? |
| A. | n > 30 |
| B. | N(1 – p) > 5 |
| C. | 2 n 5 |
| D. | N < 30 |
| Answer» B. N(1 – p) > 5 | |
| 60. |
Comparing the times to failure of radar transponders made by firms A, B, and C based on an airline’s sample experience with the three types of instruments one may use____________? |
| A. | Kolmogorov-Smirnor test |
| B. | Wilcoxon Rank-Sum test |
| C. | Spearman Rank Correlation test |
| D. | Kruskal-Wallis test |
| Answer» E. | |
| 61. |
Analysis of Variance (ANOVA) is a test for equally of______________? |
| A. | Variances |
| B. | Proportions |
| C. | Only two parameters |
| D. | Means |
| Answer» B. Proportions | |
| 62. |
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 | |
| 63. |
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 | |
| 64. |
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. | |
| 65. |
A quantity obtained by applying certain rule or formula is known as ________________? |
| A. | Estimate |
| B. | Test Statistics |
| C. | Estimation |
| D. | Sample |
| E. | Estimator |
| Answer» B. Test Statistics | |
| 66. |
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. | |
| 67. |
95% confidence limits u are ________________? |
| A. | x±1.65 6/√n |
| B. | u±1.95 S/√n |
| C. | x±1.96 6/√n |
| D. | ±1.96 6/√n |
| Answer» D. ±1.96 6/√n | |
| 68. |
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. | |
| 69. |
1 – α is the probability of_____________? |
| A. | Acceptance Region |
| B. | Type-I error |
| C. | Type-II Error |
| D. | Rejection Region |
| Answer» B. Type-I error | |