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The home run percentage is the number of home runs per 100 times at bat. A...

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.

1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8
2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4
3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9
1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0
1.2 1.8 2.4

(a) Compute a 90% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.)
lower limit      %
upper limit %

(b) Compute a 99% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. (For each answer, enter a number. Round your answers to two decimal places.)
lower limit      
upper limit      

For a binomial experiment with r successes out of n trials, what value do we use as a point estimate for the probability of success p on a single trial? (Enter a mathematical expression.)

p hat =

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