State What the Given Confidence Interval Suggests About the Two

question 147

Essay

State what the given confidence interval suggests about the two population means.
-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. $$\begin{array} { | r | r | } \hline \quad \text { Do Not Exercise } & \text { Do Exercise } \\\bar { x } _ { 1 } = 73.3 \text { beats } / \mathrm { min } & \bar { x } _ { 2 } = 68.2 \text { beat } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.7 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.2 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12 \\\hline\end{array}$$ 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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