MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
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.
| 1. |
if f(x1,x2,…xn;θ)=g(θˆ;θ)h(x1,x2,….,xn), then θˆ is____________? |
| A. | Consistent |
| B. | Sufficient |
| C. | Efficient |
| D. | Unbiased |
| Answer» C. Efficient | |
| 2. |
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 | |
| 3. |
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 | |
| 4. |
Type II error is committed when the null hypothesis is _________________? |
| A. | Rejected when it is true |
| B. | Rejected when it is false |
| C. | Accepted when it is true |
| D. | Accepted when it is false |
| Answer» E. | |
| 5. |
__________ is the process of using sample information to reach? |
| A. | Population |
| B. | Biased |
| C. | Unbiased |
| D. | Increase |
| Answer» D. Increase | |
| 6. |
_________ is an estimate expressed by a single value? |
| A. | C.I. |
| B. | Point estimator |
| C. | Parameter |
| D. | Point estimate |
| Answer» E. | |
| 7. |
When testing for randomness, we can use_____________? |
| A. | Sign test |
| B. | None of these |
| C. | Runs test |
| D. | D Mann-Whitney U test |
| Answer» D. D Mann-Whitney U test | |
| 8. |
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 | |
| 9. |
The non parametric equivalent of an unpaired samples t-test____________? |
| A. | Kruskal Wallis Test |
| B. | Mann-Whitney U test |
| C. | Wilcoxon signed rank test |
| D. | Sign test |
| Answer» C. Wilcoxon signed rank test | |
| 10. |
Which of the following is simple hypothesis___________________? |
| A. | u = 20 |
| B. | u ≠ 20 |
| C. | u 20 |
| Answer» B. u ≠ 20 | |
| 11. |
Which of the following test is most likely assessing this null hypothesis: Ho The number of violations per apartment in the population of all city apartments is binomially distributed with a probability of success in any one trial of P=0.3 dd ? |
| A. | The Mann-Whitney test |
| B. | The Kruskal-Wallis test |
| C. | The Wilcoxon Signed Rank test |
| D. | The Kolmogorove-Simirnor test |
| Answer» E. | |
| 12. |
The level of significance is denoted by _________________? |
| A. | 1 – ∞ |
| B. | β |
| C. | ∞ |
| D. | 1 – β |
| Answer» D. 1 – β | |
| 13. |
The minimum variance unbiased estimator of the population mean is _______________? |
| A. | 6/√n |
| B. | S/√n |
| C. | S2/n |
| D. | 6x/√n |
| Answer» D. 6x/√n | |
| 14. |
If n = 400 and P=.69 then 90% C.I for P is _________________? |
| A. | 652 and . 728 |
| B. | .314 and .652 |
| C. | .798 and .745 |
| D. | None of these |
| Answer» B. .314 and .652 | |
| 15. |
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 | |
| 16. |
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 |
| Answer» D. Ux = u | |
| 17. |
E(x1 – x2)= ___________________? |
| A. | ux – x2 |
| B. | u1 – u2 |
| C. | 6x – x2 |
| D. | 6×2 – x2 |
| Answer» C. 6x – x2 | |
| 18. |
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 | |
| 19. |
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 | |
| 20. |
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 |
| Answer» E. | |
| 21. |
If we reject the null hypothesis, we might be making____________? |
| A. | Unpredictable |
| B. | A correct Decision |
| C. | Type-II Error |
| D. | Type-Error |
| Answer» D. Type-Error | |
| 22. |
Analysis of Variance (ANOVA) is a test for equally of______________? |
| A. | Variances |
| B. | Proportions |
| C. | Only two parameters |
| D. | Means |
| Answer» B. Proportions | |
| 23. |
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. | |
| 24. |
Parameter is a _________ quantity? |
| A. | Constant |
| B. | Variable |
| C. | All of above |
| D. | Non of these |
| Answer» B. Variable | |
| 25. |
Power of test is denoted by _______________? |
| A. | β |
| B. | α |
| C. | (1 – α ) |
| D. | (1 – β) |
| Answer» E. | |
| 26. |
x=40 is estimator of _________________? |
| A. | (U) |
| B. | 6 |
| C. | Ux |
| D. | 6/√n |
| Answer» B. 6 | |
| 27. |
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 |
| Answer» B. Confidence limits | |
| 28. |
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. | |
| 29. |
The Wilcoxon, Rank-Sum test used to compares_______________? |
| A. | Any number of populations |
| B. | A sample mean to the population mean |
| C. | Two populations |
| D. | Three populations |
| Answer» D. Three populations | |
| 30. |
Which of the following test must be two-sided ? |
| A. | Sign test |
| B. | Wilcoxon Signed Rank |
| C. | Kruskal-Wallis |
| D. | Runs test |
| Answer» B. Wilcoxon Signed Rank | |
| 31. |
The Runs test results in rejecting the null hypothesis of randomness when______________? |
| A. | There is an unusually large number of runs |
| B. | There is an unusually small number of runs |
| C. | None of these |
| D. | Either of the above |
| Answer» E. | |
| 32. |
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 |
| Answer» D. Non of these | |
| 33. |
In testing for the difference between two populations, it is possible to use____________? |
| A. | The Wilcoxon Rank-Sum test |
| B. | The Sign test |
| C. | None of the above |
| D. | Either of the above |
| Answer» E. | |
| 34. |
Which of the following cannot be Ho_________________? |
| A. | Q ≤ Qo |
| B. | Q ≥ Qo |
| C. | Q = Qo |
| D. | Q ≠ Qo |
| Answer» E. | |
| 35. |
If Ho is stated as Q = Qo< the alternate hypothesis in general stated________________? |
| A. | Q Qo |
| B. | Q ≠ Qo |
| C. | None of these |
| Answer» C. None of these | |
| 36. |
The hypothesis which is being tested is called ___________________? |
| A. | Composite hypothesis |
| B. | Alternative hypothesis |
| C. | Null hypothesis |
| D. | Simple hypothesis |
| Answer» D. Simple hypothesis | |
| 37. |
The sign test assumes that the_______________? |
| A. | Samples are independent |
| B. | Samples have same mean |
| C. | Sample are dependent |
| D. | The Wilcoxon Signed Rank test is used |
| Answer» D. The Wilcoxon Signed Rank test is used | |
| 38. |
The t distribution are_____________? |
| A. | Symmetrical |
| B. | None of these |
| C. | Same as Normal Curve |
| D. | Skewed |
| Answer» B. None of these | |
| 39. |
Consistency of an estimator can be checked by comparing____________? |
| A. | Standard Deviation |
| B. | Mean |
| C. | mean Square Error |
| D. | Variance |
| Answer» E. | |
| 40. |
Three brands of coffee are rated for tasted on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations.The appropriate test to tasted equally good is_____________? |
| A. | One way analysis of variance (ANOVA) |
| B. | Spearman Rank difference |
| C. | Wilcoxon Rank-Sum test |
| D. | Kruskal-Wallis test |
| Answer» E. | |
| 41. |
The Mann-Whitney U test is preferred to a t-test when____________? |
| A. | Sample are dependent |
| B. | The assumption of normality is not met |
| C. | Sample sizes are small |
| D. | Data are paired |
| Answer» C. Sample sizes are small | |
| 42. |
Which of the following is an assumption underlying the use of the t-distribution ? |
| A. | The sample are drawn from a normally distributed population. |
| B. | The variance of the population is known |
| C. | All above |
| D. | s (sample standard deviation) is an unbiased estimate of the population variance. |
| Answer» B. The variance of the population is known | |
| 43. |
Which of the following is a true statement for comparing the t distribution with standard normal ? |
| 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 |
| Answer» B. The Normal Curve is symmetrical whereas the t-distribution are slightly skewed. | |
| 44. |
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 |
| Answer» B. Sufficient statistic | |
| 45. |
if Var(θˆ)→0 as n → 0, then θˆ is said to be______________? |
| A. | Sufficient |
| B. | Efficient |
| C. | Unbiased |
| D. | Consistent |
| Answer» E. | |
| 46. |
Wilcoxon Rank-Sum test can be of_______________? |
| A. | Lower tailed |
| B. | Upper tailed |
| C. | Either of the above |
| D. | None of the above |
| Answer» D. None of the above | |
| 47. |
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. | |
| 48. |
Criteria to check a point estimator to be good are_____________? |
| A. | Consistency |
| B. | All Above |
| C. | Unbiasedness |
| D. | Efficiency |
| Answer» C. Unbiasedness | |
| 49. |
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 |
| Answer» B. Runs test | |
| 50. |
Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι] |
| A. | Independence Equation |
| B. | Sequential Probability Likelihood Equation |
| C. | Neyman Pearson Lemma |
| D. | Wald’s Equation |
| Answer» B. Sequential Probability Likelihood Equation | |