Test the Indicated Claim About the Means of Two Populations

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-A researcher was interested in comparing the resting pulse rates of people who exercise regularly and of those who do not exercise regularly. Independent simple random samples of 16 people who do not exercise regularly and 12 people who exercise regularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are as follows. $$\begin{array}{l}\begin{array} { l | l } \text { Do not exercise regularly } & \text { Exercise regularly }\\\hline \bar { x } _ { 1 } = 73.2 \text { beats } / \mathrm { min } & \bar { x } _ { 2 } = 68.9 \text { beats } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.9 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.2 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12\end{array}\end{array}$$
Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly. Use the traditional method of hypothesis testing.