Statistical Inference and Hypothesis Testing [ISS (Statistical Services) Statistics Paper II]: Questions 144 - 149 of 220
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Question 144
Question MCQ▾
If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 145
Question MCQ▾
The hypothesis is known as
Choices
Choice (4) | Response | |
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a. | Composite Hypothesis | |
b. | Simple Hypothesis | |
c. | Null Hypothesis | |
d. | Alternative Hypothesis |
Question 146
Question MCQ▾
If is a random sample from a density function for where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 147
Question MCQ▾
A range computed using sample statistics to estimate an unknown population parameter with a given level of confidence is known as
Choices
Choice (4) | Response | |
---|---|---|
a. | Maximum Interval | |
b. | Normal interval | |
c. | Confidence interval | |
d. | Time interval |
Question 148
Question MCQ▾
Formula for 95% Confidence interval for the variance of the Normal distribution when is known, is given by
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 149
Question MCQ▾
For a normal population , the variance of the sample mean and sample variance are given . Then the efficiency of mean against median is
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |