Construct the Indicated Confidence Interval for the Difference Between the Two

question 113

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
-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.
$\begin{array}{c|l}\text { Do not exercise regularly } & \text { Exercise regularly } \\\hline \overline{\mathrm{x}}_{1}=72.3 \text { beats } / \mathrm{min} & \overline{\mathrm{x}}_{2}=68.2 \text { beats } / \mathrm{min} \\\mathrm{s}_{1}=10.9 \text { beats } / \mathrm{min} & \mathrm{s}_{2}=8.2 \text { beats } / \mathrm{min} \\\mathrm{n}_{1}=16 & \mathrm{n}_{2}=12\end{array}$
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) \(- 3.32\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.52\) beats \(/ \mathrm { min }\)
• B) \(- 3.34\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.54\) beats \(/ \mathrm { min }\)
• C) \(- 3.63\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.83\) beats \(/ \mathrm { min }\)
• D) \(- 3.65\) beats \(/ \mathrm { min } < \mu _ { 1 } - \mu _ { 2 } < 11.85\) beats \(/ \mathrm { min }\)

Examine the methods researchers use to study emotional and personality traits.

Relate personality variables to health issues beyond the scope of Type A behavior.

Understand the definition, characteristics, and differences between introversion and social anxiety.

Explain the relationship between social anxiety and Freud's conception of anxiety, including the concept of evaluation apprehension and other causes.

---

Definitions:

Accounts Receivable

Money owed to a business by its clients or customers for goods or services provided on credit.

Inventory Conversion Period

The average time it takes for a company to turn its inventory into sales.

Compensating Balance

A minimum bank account balance that a borrower is required to maintain with a lender as part of a loan agreement, often used to offset the cost of maintaining the loan.

Deficit Financing

The practice of funding government spending by borrowing rather than from taxation, leading to budget deficits.