a. At α = 0.1, does the data provide sufficient evidence to indicate that the standard deviations of two populations are different? (6%)

b. At α = 0.1, does the data provide sufficient evidence to indicate that the mean of population 1 is larger than the mean of population 2? (6%)

2. A journal surveyed its readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. (8%)

a. Construct an analysis of variance table to test whether there is a significant difference among the means of three treatments. (6%)

b. Use Fisher’s LSD approach to determine which populations have different means.,where Si  is the sample standard deviation of treatment i, i =1, 2, 3. (6%)

a. Find the best-fitting line for the above data. (6%)

b. According to the information above, at a 0.05 level of significance, test for the claim “longer the years of experience, more the annual sales.”. (6%)

c. If the number of years of experience is 10 years, find the 95% confidence interval for the corresponding mean annual sales. (6%)

(a) Calculate and interpret the covariance between x and y. (3%)

(b) Calculate the coefficient of correlation, and comment on the relationship between x and y. (3%)

(c) Determine the least squares line, and use it to estimate the value of y for x = 6. (3%)

113年 - 113 國立臺灣大學_碩士班招生考試：工程統計#119664

112年 - 112 國立臺灣大學_碩士班招生考試試題：工程統計#119662

111年 - 111 國立臺灣科技大學_碩士班招生試題：統計學(C)#120895

110年 - 110 國立陽明交通大學_碩士班考試入學試題：統計學#121574

110年 - 110 國立臺灣科技大學_碩士班招生試題_企業管理系：統計學#111322

110年 - 110 國立臺灣大學_碩士班招生考試_部分系所:統計學(H)#111297

110年 - 110 國立政治大學_碩士班暨碩士在職專班招生考試_財政所:統計學#110890

110年 - 110 國立高雄科技大學_碩士班招生考試_工業工程與管理系：統計學#110420

110年 - 110 國立政治大學_碩士班招生考試_財政研究所:統計學#107983

110年 - 110 國立政治大學_碩士班招生考試_ 國際經營與貿易學系:統計學#106074