In: Statistics and Probability
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) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)
x = | % |
s = | % |
(b) Compute a 90% confidence interval 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. (Round your answers to two decimal
places.)
lower limit | % |
upper limit | % |
(c) Compute a 99% confidence interval for the population mean
μ of home run percentages for all professional baseball
players. (Round your answers to two decimal places.)
lower limit | % |
upper limit | % |