Perform the Indicated Hypothesis Test Use a 0025 Significance Level to Test the Claim That the Mean

question 6

Essay

Perform the indicated hypothesis test. Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (?1 = ?2), so that the standard error of the difference between means is obtained by pooling the sample variances .
-A researcher was interested in comparing the resting pulse rates of people who exercise regularly and the pulse rates 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. $$\begin{array} { l | l } \text { Do Not Exercise } & \text { Do Exercise } \\\hline \overline { \mathrm { x } } _ { 1 } = 73.9 \text { beats } / \mathrm { min } & \bar { x } _ { 2 } = 68.7 \text { beat } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.9 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.7 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12\end{array}$$
Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly. Use the traditional method of hypothesis testing.

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