Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 69

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-A researcher wishes to determine whether the systolic blood pressure of people who follow a vegetarian diet is, on average, lower than the systolic blood pressure of those who follow a nonvegetarian diet. Independent simple random samples of 85 vegetarians and 75 nonvegetarians yielded the following sample statistics: $\begin{array}{l} \text { Vegetarians } \\\hline \mathrm{n}_{1}=85 \\\overline{\mathrm{x}_{1}}=124.1 \\\mathrm{~s}_{1}=38.7\end{array}$

$\begin{array}{l} \text { Nonvegetarians } \\\hline \mathrm{n}_{2}=75 \\\overline{\mathrm{x}_{2}}=138.7 \\\mathrm{~s}_{2}=39.2\end{array}$

Use the sample data to test the claim that the mean systolic blood pressure for vegetarians is lower than the mean systolic blood pressure for nonvegetarians. Test the claim using a significance level of 0.01. Use the P-value approach.

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Definitions:

Required Rate of Return

The minimum annual percentage return an investor expects to earn from an investment to consider it worthwhile.

Portfolio

A collection of financial investments like stocks, bonds, commodities, cash, and cash equivalents, including mutual, exchange-traded, and closed funds.

Market Risk Premium

The additional yield investors anticipate from maintaining a portfolio with inherent market risk rather than opting for assets free of risk.

Required Rate of Return

The minimum annual percentage return investors expect or demand from an investment, considering the risk involved.