Question

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 55 men and 79 women to participate in the study each subject was required to step up and down a 6 - inch platform. the pulse of each subject was then recorded the following results were obtained. (a) state the null and alternative hypotheses. which of the following is correct? oa. ( h_{0}: mu_{1}=mu_{2}, h_{a}: mu_{1}<mu_{2} ) ob. ( h_{0}: mu_{1}=mu_{2}, h_{a}: mu_{1}
eq mu_{2} ) oc. ( h_{0}: mu_{1}=mu_{2}, h_{a}: mu_{1}>mu_{2} )

Explanation:

Step1: Understand the null hypothesis

The null hypothesis \(H_0\) is a statement of equality. In a two - sample mean test, it is usually \(H_0:\mu_1=\mu_2\) (where \(\mu_1\) is the population mean for men and \(\mu_2\) is the population mean for women).

Step2: Understand the alternative hypothesis

The physical therapist wants to know if the mean step pulse of men (\(\mu_1\)) is less than the mean step pulse of women (\(\mu_2\)). So the alternative hypothesis \(H_a:\mu_1 < \mu_2\)

Answer:

A. \(H_0:\mu_1=\mu_2;H_a:\mu_1 < \mu_2\)