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Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

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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.  Do Not Exercise  Do Exercise x1=73.5x2=68.5 s1=10.9 s2=8.2n1=16n2=12\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.


Definitions:

Justifiable Reliance

A principle in contract law that an individual can act based on the assurance or promise of another, assuming such dependence is reasonable and logical.

Contract Enforcement

The legal mechanisms and procedures used to ensure that the terms of a contract are fulfilled by the parties involved, or to seek remedies in cases of breach.

Restatement

A revision or rewriting of legal documents or statutes for clarification and simplification without changing the fundamental meaning.

Second

A unit of time equal to one sixtieth of a minute, used as a standard measure of time.

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