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110年 - 110 國立中山大學碩士暨碩士專班招生考試_應數系碩士班/甲組:機率與統計#105484
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2. Please explain the following terms.
c. [4%] What is the "parameter" of a Student's t-distribution?
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b. [4%] What is p-value?
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a. [4%] the null hypothesis and the alternative hypothesis,
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b. [4%] the test statistic (no need to simplify your answer),
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c. [4%] the sampling distribution of the test statistic under the the null hypothesis. 18 32
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4. [10%] An online poll states that 50% people dislike a certain policy. For the next poll on the same topic, let be the point estimate of the true proportion ±2.5%? (Note:is the cumulative distribution function of a standard normal random variable Z. And 1.962 = 3.8416, 1.642 =2.6896, 1.282 =1.6384.)
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a. [7%] Find a method of moments estimator for a in terms of the sample mean.
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b. [7%] Find the maximum likelihood estimator for a.
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