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# PS8 - ISMT111 Problem Set#8(1 A random sample of 80 sales...

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ISMT111 Problem Set #8 (1) A random sample of 80 sales accounts of firm A showed 24 accounts to be in error, while a random sample of 150 sales accounts of firm B showed 15 accounts to be in error. Let p 1 and p 2 be the proportion of sales accounts in error for firm A and Firm B respectively. Determine a 90% confidence interval estimate for p 1 - p 2 . (2) A study of reading habits of college graduates and non-graduates is to be taken. An equal number of individuals in each category will be randomly selected and each will be asked to report on the number of books read during the following year. On the basis of past studies of reading habits, the investigators feel that values of σ g = 20 and σ n = 15 (i.e., grads and nongrads respectively) are conservative. What should the sample size be if the 95% confidence interval for the difference in true average number of books read is to be at most of width 5? (3) Independent random samples were drawn from two normal populations with means μ 1 and μ 2

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