108年 - 109東吳大學_碩士班招生考試_國際經營與貿易學系：統計學#101157

(a). Construct a histogram for the data.

(b). Find the median and the mean for the data.

(c). Which value, mean or median, is a better measure of the center in this case? Explain.

(a). Is X a binomial random variable, why?

(b). What is the probability that out of the 5 randomly selected students exactly 2 are male?

(c). What is the expected number of male students in a random sample of 100?

(a)

(b)

(c)

(d)

(e)

4. A researcher is trying to determine how many hours the average student in SCU studies statistics each week. He takes a random sample of 25 individuals and asks each student how many hours he or she studies statistics each week. The following summations were computed： . Find a 95% confidence interval for the mean number of study hours by using a small-sample method.

(a).電腦製造商A購買了20顆第八代處理器，發現其平均溫度為48℃，在顯著水準 α =0.01 下，以P值法(P-Value Method)檢定英特爾的宣稱是否正確。

(b).電腦製造商B購買了40顆第八代處理器，發現其平均溫度為48℃，在顯著水準 α =0.01 下，以P值法(P-Value Method)檢定英特爾的宣稱是否正確。

(c). A，B兩電腦製造商的檢定結果，何者較為可信? 為什麼?

(a).求 P (Y ＞ 2 X ) 之值。

(b).求 P ( X + Y ＜ 18) 之值。

(a).以上三個點估計量是否具有不偏性，為什麼?

(b).哪一個點估計量最有效，為什麼?

108年 - 109東吳大學_碩士班招生考試_國際經營與貿易學系：統計學#101157

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