In a study on cholesterol level of men and women, it is of interest to know whether the cholesterol.

In a study on cholesterol level of men and women, it is of interest to know whether the cholesterol level of men (m) and women (w) are the same. The mean cholesterol level for men and women, say, are 177 mg/dL for men and 173 mg/dL for women. The standard deviation of cholesterol level for men is 32 mg/dL and for women is 28 mg/dL. The number of men and women in the study are 70 and 65 respectively. Test for the following and alternative hypotheses assuming that the population variances for men and women are unknown but equal: H0: lm ¼ lw H1: lm 6¼ lw: Let a ¼ 0:05 Does your conclusion

In a study on cholesterol level of men and women, it is of interest to know whether the cholesterol level of men (m) and women (w) are the same. The mean cholesterol level for men and women, say, are 177 mg/dL for men and 173 mg/dL for women. The standard deviation of cholesterol level for men is 32 mg/dL and for women is 28 mg/dL. The number of men and women in the study are 70 and 65 respectively. Test for the following and alternative hypotheses assuming that the population variances for men and women are unknown but equal: H0: lm ¼ lw H1: lm 6¼ lw: Let a ¼ 0:05 Does your conclusion change if you assume unknown but unequal variances instead of unknown but equal variances for men and women? Summarize your comments.