ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 166 - 172 of 253
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Question number: 166
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
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Relative efficiency of an estimator as compared to is given as
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Question number: 167
» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality
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Cramer-Rao inequality with regard to the variance of an estimator provides
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| Choice (4) | Response | |
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a. | Lower bond on the variance | |
b. | Asymptotic variance of an estimator | |
c. | Upper bound on the variance | |
d. | All of the above | |
Question number: 168
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
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If and are the mean and standard deviation of a random sample from a Normal distribution with unknown variance , a percent confidence interval on is given by
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d. | Question does not provide sufficient data or is vague | |
Question number: 169
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
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The 95 % confidence interval for of the normal population is given by
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Question number: 170
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
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If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if
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Question number: 171
» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses
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The hypothesis is known as
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| Choice (4) | Response | |
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a. | Composite Hypothesis | |
b. | Simple Hypothesis | |
c. | Null Hypothesis | |
d. | Alternative Hypothesis | |
Question number: 172
» Statistical Inference and Hypothesis Testing » Factorization Theorem
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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
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d. | None of the above | |