The following table shows the number of hits for a random sample of Major League Baseball players two months into the season. The table shows data for samples of three positions: shortstop, left field, and first base.

a. Compare the sample mean number of hits for the three positions.

b. Find the number of pairwise comparisons. Report the Bonferroni corrected significance level required to carry out two-sample t-tests to see whether each pair of sample means is different.

c. Assume the conditions for two-sample t-tests are met. Use an overall significance level of 0.05 and, for each pair, test whether the means are different. Report the value of the t-test statistic, the p-value, and the conclusion for each test. Are position and number of hits associated?

Transcribed Image Text:

Shortstop Left Field First Base 47 49 63 47 50 59 48 67 44 51 58 58 39 44 59 53 39 48 69 50 52 48 32 57 59 62 42 45 62 41