Question 11.

A researcher hypothesizes that the average number of sports that colleges offer for males is greater than the average number of sports that colleges offer for females. Two independent random samples of the number of sports offered by colleges for males and females lead to

Samples size 50 and 50 Sample mean 8.6 and 7.9 Sample standard deviation 3.3 and 3.3

At = 0.10, is there enough evidence to support the claim? (a) (2 pts) State the hypotheses

(b) (4 pts) Compute the test statistic

10pts

Males

Females

(c) (2 pts) Find the p-value and make a decision

(d) (2 pts) State a conclusion