Problem B

(20 points) ( # 21 - 40 )

A young doctoral student makes an observation that men and women under 30 years of age, seem to have different sleep habits. She believes that on weekends, women (Pop1) sleep more hours per night than men (Pop2). Both populations are assumed to be Normal Distributions with unknown but, unequal standard deviations.

She decides to test her hypothesis about sleep habits of women (Pop1) and men (Pop2). She surveys a total of 35 women and 30 men about the mean number of hours she or he, sleeps on weekends.

Table 2 below displays the results of that survey>

Table 2 Sleep Habits on Women and Men on Weekends

Table 2 Sleep Habits on Women and Men on Weekends Women (Pop1) Men (Pop2) Mean Hours 10.45 9.12 St Dev hours S1 = 2.84 S2 =2.17 n n1 = 35 n2 = 30