The following values give the number of points scored by the

football team this past season. Consider these scores to be independent observations that come from a normal distribution of all possible scores that the football team could have obtained.

14

3

13

24

41

27

3

24

10

13

10

a) (10 pts) Does this data support a claim that the population mean for points scored by

the team would be less than 21 points? Set up the proper set of hypotheses, perform the test

using a significance level of 0.05, and be sure to give a final statement in the context of the

problem.