A Researcher Wishes to Determine Whether the Blood Pressure of Vegetarians

A researcher wishes to determine whether the blood pressure of vegetarians is, on average,
lower than the blood pressure of nonvegetarians. Independent simple random samples of 85
vegetarians and 75 nonvegetarians yielded the following sample statistics for systolic blood
pressure: $\begin{array}{|l|l|}\hline {\text { Vegetarians }} & {\text { Nonvegetarians }} \\\hline n_{1}=85 & n_{2}=75 \\\hline \bar{x}_{1}=124.1 \mathrm{mmHg} & \bar{x}_{2}=138.7 \mathrm{mmHg} \\\hline s_{1}=38.7 \mathrm{mmHg} & s_{2}=39.2 \mathrm{mmHg} \\\hline\end{array}$ Use a significance level of 0.01 to test the claim that the mean systolic blood pressure of
vegetarians is lower than the mean systolic blood pressure of nonvegetarians. Include your null
and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the
null hypothesis, and conclusion about the claim in your answer.