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96年 - 96 淡江大學 轉學考 統計學#56044

科目：轉學考-統計學 | 年份：96年 | 選擇題數：0 | 申論題數：22

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所屬科目：轉學考-統計學

選擇題 (0)

申論題 (22)

(a) Sample mean
(b) Sample median
(c) Sample mode
(d) Sample variance
(e) Sample standard deviation
(f) The coefficient of variation.
2. (a) What is meant by "Events At B are mutually exclusive'' ? (2%)
【已刪除】(b) Let  be n mutually exclusive events such that  for j =1,2,...,n，and whose union is the entire sample space S. For any given event B such that ，state the Bayes* Law Formula for the posterior probabilities (6%)
(i) Are A1 and A2 mutually exclusive? (2%)
【已刪除】(ii) Compute (6%)
(iii) Compute P(B). (4%)
【已刪除】(iv) Apply Bayes' Law Formula to compute  (8%)
【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%)
(b) Let the random variable X have a Chi-Squared distribution with r degrees of freedom. What are the mean and variance of ?(6%)
(a) Give an unbiased estimator for μ. (4%)
(b) Give a confidence interval for μ with confidence coefficient a, 0 ＜ a ＜ 1  (6%)
(a) What is a type I error for this test? (4%)
(b) What is a type II error for this test? (4%)
(c) What is the power of this test? (4%)
(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%)
6 (a) What is meant by a multinomial experiment? (6%)
(b) Describe the Chi-Squared Goodness-of-fit Test. (8%)