State What the Given Confidence Interval Suggests About the Two

question 179

Multiple Choice

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 people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not
Exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each Person was recorded. The summary statistics are as follows. $$\begin{array} { | r | r | } \hline \text { Do Not Exercise } & \text { Do Exercise } \\\hline \bar { x } _ { 1 } = 72.5 \text { beats } / \mathrm { min } & \bar { x } _ { 2 } = 68.5 \text { beats } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.4 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.9 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12 \\\hline\end{array}$$

Construct a 90% confidence interval for the difference between the mean pulse rate of people who do not Exercise regularly and the mean pulse rate of people who exercise regularly.

• A) \(- 0.11\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 8.11\) beats \(/ \mathrm { min }\)
• B) \(- 0.92\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 8.92\) beats \(/ \mathrm { min }\)
• C) \(- 3.05\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.05\) beats \(/ \mathrm { min }\)
• D) \(- 2.38\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 10.38\) beats \(/ \mathrm { min }\)

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