題組內容

二、統計部分：(50分)
(如有需要，可參考下列數值： \( Z_{0.05} = 1.65 \)，\( Z_{0.025} = 1.96 \)，\( \chi^{2}_{0.1, 2} = 4.605 \)，\( \chi^{2}_{0.05, 2} = 5.99 \)，\( \chi^{2}_{0.1, 3} = 6.25 \))

2. A researcher wishes to see if the mean number of days that a basic, low-price, small automobile sits on a dealer’s lot is 29. A sample of 30 automobile dealers has a mean of 30.1 days for basic, low-price, small automobiles. At α = 0.05, test the claim that the mean time is greater than 29 days. The standard deviation of the population is 3.8 days.(10分)