ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 176 - 180 of 253
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Question 176
Question
MCQ▾Rao-Blackwell Theorem enables us to obtain MVUE through:
Choices
Choice (4) | Response | |
---|---|---|
a. | Sufficient statistics | |
b. | Unbiased Estimator | |
c. | Complete Statistics | |
d. | Efficient statistics |
Question 177
Question
MCQ▾A 95 % confidence interval is shown as . This means
Choices
Choice (4) | Response | |
---|---|---|
a. | Probability that lies in the interval 60.84 and 96.5 is 0.95 | |
b. | The length of the confidence interval is 35.66 | |
c. | 60.84 and 96.5 are 95 percent confidence limits | |
d. | All a., b. and c. are correct |
Question 178
Question
MCQ▾If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by
all
Choices
Choice (4) | Response | |
---|---|---|
a. | for all | |
b. | for all | |
c. | for all | |
d. | for all |
Question 179
Question
MCQ▾In a college survey, children were asked how many hours they study per day. A sample of 22 children is collected. The mean was 3.25 hours with a standard deviation of 1.57 hours. Then 95 % and 99 % confidence interval for the number of hours of study per day is
Choices
Choice (4) | Response | |
---|---|---|
a. | and | |
b. | and | |
c. | and | |
d. | Question does not provide sufficient data or is vague |
Question 180
Question
MCQ▾A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.
Choices
Choice (4) | Response | |
---|---|---|
a. | Sufficient | |
b. | Maximum Likelihood estimator | |
c. | Efficient | |
d. | Unbiased |