課程名稱：統計學 課程性質：整開 課程範圍：Chapter 11 - 13 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)：2014/4/15 考試時限(Mins)：120 min 附註： 試題本文： 1. How much does advertising impact market penetration? To assess the impact of advertising in the tobacco industry, a study looked at the amount of money spent on advertising a particular brand of cigarettes and brand preference among adolescents. The data is show below: Brand Advertising ($ million) Adolescent (%) ------------------------------------------------------------------------------ Marlboro 75 60.0 Camel 43 13.3 Newport 35 12.7 Kool 21 1.2 Winston 17 1.2 Benson & Hedges 4 1.0 Salem 3 0.3 a. Compute the coefficient of correlation. (15 pts) b. Conduct a test of hypothesis to determine if it is reasonable to conclude that the population correlation is greater than zero. Use the 0.5 significance level. (10 pts) c. Develop the regression equation for the dependent variable based on the independent variable. (10 pts) d. Compute and interpret the coefficient of determination. (10 pts) e. Compute the standard error of estimate. (10 pts) 2. PGA of America is the association that only professional golfers can belong to. Recently, a maker of golf balls developed a new ball technology, and PGA of America is interested in estimating the mean difference in driving distance for this new ball versus the existing best-seller. To conduct the test, the PGA of America staff selected six professional golfers and had each golfer hit each ball one time. The data are listed below. Golfer Existing Ball New Ball A 280 276 B 299 301 C 278 285 D 301 299 E 268 273 F 295 300 At the 0.05 significance level, can we conclude that the mean driving distance for the new ball is different from the existing best-seller? (15 pts) 3. The Chinese Statistical Association recently conducted a study to compare the monthly salary (NT$1000) of men and women employed in either the public or private sector of statistics. Sector ----------------------------------------------------------------- Gender Public Private Men 31.3, 33.1, 30.9, 31.9, 35.8 42.7, 37.4, 39.6, 42.1. 38.2 Women 27.6, 31.2, 32.4, 32.6, 33.2 34.5, 37.0, 34.0, 35.5, 35.0 a. Draw an interaction plot of men and women means by sector. (10 pts) b. Perform a complete analysis of variance, including the possibility of interaction, on the data and interpret your result. Use the 0.0.1 significance level. (20 pts) --

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