A physical therapist believes that women are more flexible than men. She measures the flexibility of 31 randomly selected women and 45 randomly selected men by determining the number of inches subjects could reach while sitting on the floor with their legs straight out and back perpendicular to the ground. The more flexible an individual is, the higher the measured flexibility will be. After entering the data into MINITAB, she obtained the results on the next page.

(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 flexibility of men versus women? Interpret this interval.

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Two Sample T-Test and Confidence Interval Two sample r for Men vs Women StDev 3.29 2.07 Mean 18.64 20.99 SE Mean 0.49 0.37 45 Men Wome 31 95% CI for mu Men-mu Women: (-3.58, -1.12) T-Test mu Men = mu Women (vs <):T =-3.82 P = 0.0001 DF = 73