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.

Calculate the t- obtained statistic for this hypothesis test.Make sure toshow the formulaand a bit of work please