Determine Whether the Samples Are Independent or Dependent Construct a 95% Confidence Interval For

Multiple Choice

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the resting pulse rates of people who exercise regularly and the pulse rates of people who do not exercise regularly. She obtained independent simple random samples of 16 people
Who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rates (in beats per Minute) were recorded and the summary statistics are as follows.
$$\begin{array} { c | c } \text { Do not exercise regularly } & \text { Exercise regularly } \\\hline \overline { \mathrm { x } } _ { 1 } = 72.9 \text { beats } / \mathrm { min } & \mathrm { x } _ { 2 } = 69.4 \text { beats } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.9 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.2 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12\end{array}$$
Construct a 95% confidence interval for $\mu _ { 1 }- \mu _ { 2 }$ 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) $- 4.23$ beats $/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.23$ beats $/ \mathrm { min }$
B) $- 4.25$ beats $/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.25$ beats $/ \mathrm { min }$
C) $- 3.94$ beats $/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 10.94$ beats $/ \mathrm { min }$
D) $- 3.92$ beats $/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 10.92$ beats $/ \mathrm { min }$