6. [5.21833 Points] PREVIOUS ANSWERS BBBASICSTATBACC 3.2.0225. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The home run percentage is the number of home runs per mu times at bat. A random sample uf43 pmfessiunal baseball players gave the following data for home run percentages 1.6 2.4 1.2 5.5 2.3 0.0 1.5 2.5 6.5 1.5 2.7 2.0 1 9 1.3 2.7 1.7 1.3 2.1 2.8 1 4 3.3 2.1 3.4 1.3 1.5 2.9 2.5 0.0 4.1 2.9 1.9 2.4 0.0 1.5 3.1 3.3 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 nd E and s (ll'l percentages). (Fur each answer, enter a number. Round your answers to two decimal places.) ; .r o s m- or w (b) Compute a gun/a condence interval [in percentages) for the population mean p of home run percentages for all profasEiunal baseball players Hint; [f you use the Studanl'E t distribution table, be sure to use the closest df. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.) meriwmw w marlin w (c) Compute a 99% condence interval (in percentages) for the population mean p of home run percentages for all professional baseball players. (Fur each answer, enter a number. Round your answers to two decimal places.) lowerlimit x \"In weerlmw x w (d) The home run percentages for three professional players are below. Player A, 2.5 player B, 2.3 player C, 3.e Examine your condence intervals and describe how the home mn percentages for these players compare to the population average. 0 We can say player A falls close to the average, player B is above average, and player c is below average. 0 We can say player A falls close to the average, player B is below average, and player c is above average. (9 We can say player A and player B fall close to the average, while player c is above average. 0 We can say player A and player B fall close to the average, while player c is below average. l theorem. (e) In previous problems, we assumed thex distribution was normal or approximately normal. Do we need to make such an assumption in this prnblem? why or why not? Hint: Use the central li (D Yes. According to the centml limit theorem, when .n 2 30, the 2 distribution is approximately normal. 0 Ves. According to the central limit theorem, when n g 30, the 2 distribution is approximately normal. 0 No. According to the central limit theorem, when n 2 an, the 2 distribution is approximately normal. 0 No. According to the central limit theorem, when n s 30, the 2 distribution is approximately normal. X