Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 5

Essay

Preliminary data analyses indicate that you can reasonably use nonpooled t-procedures on the given data. Apply anonpooled t-test to perform the required hypothesis test, using either the critical-value approach or the P-value approachas indicated.
-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 of 16 people ages 30-40 who do not exercise regularly and 12 people ages 30-40 who exercise regularly were selected, and the resting pulse rate (in beats per minute)of each person was measured. The summary statistics are as follows. $\begin{array} { r | r } \text { Do Not Exercise } & \text { Do Exercise } \\ \hline \overline { \mathrm { x } } _ { 1 } = 73.5 & \overline { \mathrm { x } } _ { 2 } = 68.5 \\ \mathrm {~s} _ { 1 } = 10.9 & \mathrm {~s} _ { 2 } = 8.2 \\ \mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12 \end{array}$
At the 2.5% significance level, do the data provide sufficient evidence to conclude 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 critical-value approach.

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Definitions:

Contribution Margin

The amount by which a product's sales price exceeds its variable costs, indicating how much contributes to covering fixed costs and generating profit.

Machine Hour

A measurement of production time, counting one hour of operation of a machine or a piece of equipment for manufacturing purposes.

Sales Margin

The difference between the selling price of a product and the cost of goods sold, expressed as a percentage of sales, indicating the profitability of a product.

Fixed Costs

Expenses that do not change with the level of output or sales, such as rent, salaries, and insurance premiums.