Determine Whether the Samples Are Independent or Dependent Use a 0025 Significance Level to Test the Claim That the Mean

question 25

Essay

Determine whether the samples are independent or dependent.
-A researcher was interested in comparing the resting pulse rates of people who exercise regularly and of those
who do not exercise regularly. Independent simple random samples of 16 people who do not exercise regularly
and 12 people who exercise regularly were selected, and the resting pulse rates (in beats per minute) were
recorded. The summary statistics are as follows. $$\begin{array} { | c | l | } \hline \text { Do not exercise regularly } & \text { Exercise regularly } \\\hline \overline { \mathrm { x } } _ { 1 } = 73.0 \text { beats/min } & \overline { \mathrm { x } } _ { 2 } = 68.4 \text { beats/min } \\\mathrm { s } _ { 1 } = 10.9 \text { beats/min } & \mathrm { s } _ { 2 } = 8.2 \text { beats/min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12 \\\hline\end{array}$$ Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise
regularly is larger than the mean resting pulse rate of people who exercise regularly. Use the traditional method
of hypothesis testing.

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Definitions:

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