A professor of women's studies is interested in determining if stress affects the menstrual cycle.Seventeen women are randomly sampled for an experiment and randomly divided into two groups(n₁=9and n₂=8).The first of the groups is subjected to high stress for two months while the second lives in a relatively stress-free environment.The professor measures the menstrual cycle(in days)of each woman during the month.The high stress group had ameanmenstrual cycle length of(M₁) of33.4andvarianceof4.6.The low stress group had amean(M₂) of26.2andvarianceof3.475.Test the hypothesis that stress has an effect on the length of menstrual cycle using alpha=0.01.

Test the assumption ofhomogeneity of variance using Hartley's F-Max test.Make sure to report:

a)your F-Max critical (using alpha 0.05),

b)F-Max obtained value,

c)what your decision would be(Reject or Fail to Reject)andexplain why you made that decision,and

d)Whether it isOK to assume HOVor NOT OK to assume HOV