課程名稱：統計學 課程性質：整開 課程範圍：Chapter 11 - 12 開課教師：丁兆平 開課學院：商學院 開課系級：統計系 考試日期(年月日)：2014/3/27 考試時限(Mins)：60 min 附註： 試題本文： 1. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.20 cups per day and 1.36 cup per day for those drinking decaffeinated-coffee. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. (a) Use the 0.01 significance level and the 5-step procedure to perform the test. (30 pts) (b) Find the p-value. (5 pts) 2. The NBA (National Basketball Association) had 39 black top executives (presidents or vice president) among its 388 senior managers. Meanwhile, MLB (Major League Baseball) had only 11 blacks among its 307 top administrators. Use the 5-step procedure to test at the 0.05 significance level if this reveals the NBA has significantly more black participation in higher levels of management. (25 pts) 3. Martin Motors had in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial. Distance (miles) Types of Gasoline Car A Car B Car C Regular 22.4 20.8 21.5 Super regular 17.0 19.4 20.7 Unleaded 19.2 20.2 21.2 Premium unleaded 20.3 18.6 20.4 Using the 0.5 level of significance and the 5-step procedure to test if there is a difference among the gas of the three cars? (40 pts)

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