Menstrual cycle length. Menstrual cycle lengths (days) in an SRS of ten women are as follows: {31, 28, 26, 24, 29, 33, 25, 26, 28, 30}. Use this data to test whether mean menstrual cycle length...

Menstrual cycle length. Menstrual cycle lengths (days) in an SRS of ten women are as follows: {31, 28, 26, 24, 29, 33, 25, 26, 28, 30}. Use this data to test whether mean menstrual cycle length differs significantly from a lunar month. (A lunar month is 29.5 days.) Assume that population values vary according to a Normal distribution. Use a two-sided alternative and 5% significance level. Note that days with standard deviation s = 2.8284 days. ?=28.0

List the hypotheses, test statistic, p-value, and conclusion for this problem.