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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