A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 51 men and 70 women to participate in the study. Each subject was required to step up and down onto a 6-inch platform for 3 minutes. The pulse of each subject (in beats per minute) was then recorded. After the data were entered into MINITAB, the following results were obtained

(a) State the null and alternative hypotheses.
(b) Identify the P-value and state the researcher€™s conclusion if the level of significance was α = 0.01.
(c) What is the 95% confidence interval for the mean difference in pulse rates of men versus women? Interpret this interval.

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Two Sample T-Test and Confidence Interval Two sample T for Men vs Women StDev 11.3 14.2 Mean 112.3 118.3 SE Mean 1.6 1.7 51 Men Women 70 95% CI for mu Men - mu Women: 《-10.7, -1.5) T-Test mu Men = mu Women (v8 ):T =-2.61 P = 0.0051 DF = 118