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Twenty years ago, a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed spouses should communicate. She
Twenty years ago, a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed spouses should communicate. She is now interested in the proportion of all couples who bought her book who stayed together. For a random sample of 300 couples who bought her book, she found that 23? of them stayed together. Based on this, compute a 90% condence interval for the proportion of all couples who bought her book who stayed toge:her. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upperlimit: The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 50 new hires took the test and scored a mean of 112.5 points with a standard deviation of 14.9. Last year, 55 new hires took the test and scored a mean of 1175 points with a standard deviation of 16.7. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 9 % confidence interval for ill[13, the difference between the mean test score 11.1 of new hires from the current year and the mean test score p: of new hires from last year. Then find the lower limit and upper limit of the 95% condence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of 'c-rmJlas.} Lower limit: I Upper limit
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