The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.62.41.26.62.30.01.82.56.51.82.72.01.91.32.71.71.32.12.81.43.82.13.41.31.52.92.60.04.12.91.92.40.01.83.13.83.21.64.20.01.21.82.4

(a)Use a calculator with mean and standard deviation keys to findands(in percentages). (For each answer, enter a number. Round your answers to two decimal places.)

x=

S=

(b)Compute a 90% confidence interval (in percentages) for the population meanof home run percentages for all professional baseball players.Hint:If you use theStudent'stdistribution table, be sure to use the closestd.f.that issmaller. (For each answer, enter a number. Round your answers to two decimal places.)

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(c)Compute a 99% confidence interval (in percentages) for the population meanof home run percentages for all professional baseball players. (For each answer, enter a number. Round your answers to two decimal places.)

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