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96年 - 96 淡江大學 轉學考 統計學#56044
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(b) Let the random variable X have a Chi-Squared distribution with r degrees of freedom. What are the mean and variance of ?(6%)
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【已刪除】(ii) Compute (6%)
#212644
(iii) Compute P(B). (4%)
#212645
【已刪除】(iv) Apply Bayes' Law Formula to compute (8%)
#212646
【已刪除】3 (a) Let Z be a standard normal random variable. That is, Z 〜N(0，1). Let Fz be the distribution ftmction of Z. What is the probability density function of Z? (8%)
#212647
(a) Give an unbiased estimator for μ. (4%)
#212649
(b) Give a confidence interval for μ with confidence coefficient a, 0 ＜ a ＜ 1 (6%)
#212650
(a) What is a type I error for this test? (4%)
#212651
(b) What is a type II error for this test? (4%)
#212652
(c) What is the power of this test? (4%)
#212653
(d) Suppose that the null hypothesis is H0:θ＞ 170 and the test statistic for this test is T, what is the p — value of tliis test ? if F = 175. (4%)
#212654
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