109年 - 109中原大學_碩士班招生考試_工業與系統工程學系甲組︰機率與統計#101455

科目：研究所、轉學考(插大)◆機率與統計 | 年份：109年 | 選擇題數：0 | 申論題數：5

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所屬科目：研究所、轉學考(插大)◆機率與統計

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申論題 (5)

1. Calculate the mean and standard deviation for the following sample:

0, 2, 0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 0, -3, -2, -1, 0, 1

(a) Calculate the standard deviation of sample mean.

(b) If P (sample mean ＞ 19.1) = .5, what is the population mean?

3. A random sample of 75 measurements was selected from a population with the variance of 12. The sample mean is 28. Calculate a 95% confidence interval for the population mean.

4. A random samples of 64 observations produced with the sample mean of 0.323 and the sample variance of 0.034. Test the hypothesis that if the population mean is less than 0.36 using the significance level of 0.10.