Hypothesis test and p-value.

Ages for the 2005 Boston Red Sox pitchers are shown below. (a) Assuming this is a random sample of major league pitchers, at the 5 percent level of significance does this sample show that the true mean age of all American League pitchers is over 30 years? State your hypotheses and decision rule and show all work. (b) If there is a difference, is it important? (c) Find the p-value and interpret it. (Data are from http://boston.redsox.mlb.com.)

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/hypothesis-testing/hypothesis-test-and-p-value-7ert

Solution Preview

...ical t- score = 1.796

Decision rule: Reject H0 if the sample t- value > 1.796

(a) For the given sample of 12 players, mean = x-bar = 33.92 years and s = 4.38 years

SE = s/sqrt n = ...