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

question 152

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 \(/ \mathrm { min }\)

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Definitions:

Toxic Effect

Adverse effects resulting from exposure to a substance or chemical, ranging from minor to severe, depending on the dose and duration of exposure.

Reconstituting

The process of returning a dehydrated or concentrated substance to its original state by adding water or another solvent.

Ampule Neck

The thin, constricted portion of an ampule that is designed to be broken in order to access the sterile solution inside.

Diaphragm

A muscle that separates the thoracic and abdominopelvic cavities.