Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 197 - 202 of 220
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Question 197
Question MCQ▾
An estimator is said to be sufficient for a parameter , if it
Choices
Choice (4) | Response | |
---|---|---|
a. | Contains all the information in the sample regarding the parameter. | |
b. | If it converges to the parameter in probability | |
c. | Contains no information in the sample regarding the parameter | |
d. | All of the above |
Question 198
Question MCQ▾
Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:
Choices
Choice (4) | Response | |
---|---|---|
a. | 157 percent | |
b. | 360 percent | |
c. | 22 percent | |
d. | 64 percent |
Question 199
Question MCQ▾
If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 200
Question MCQ▾
The width of the confidence interval depends on the
Choices
Choice (4) | Response | |
---|---|---|
a. | Critical Value | |
b. | Level of confidence | |
c. | Standard error. | |
d. | All a., b. and c. are correct |
Question 201
Question MCQ▾
A Maximum Likelihood Estimate (MLE) is not necessarily________
Choices
Choice (4) | Response | |
---|---|---|
a. | Consistent | |
b. | Unbiased | |
c. | Question does not provide sufficient data or is vague | |
d. | None of the above |
Question 202
Question MCQ▾
If we decrease the sample size, keeping the confidence level the same , then the length of the confidence interval will
Choices
Choice (4) | Response | |
---|---|---|
a. | It will stay the same | |
b. | Cannot be determined with the given information | |
c. | Increase | |
d. | Decrease |