Test the Indicated Claim About the Means of Two Populations

question 68

Essay

Test the indicated claim about the means of two populations. 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. Use the traditional method or P-value method as indicated.
-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. $$\begin{array}{l}\begin{array} { l | l } \text { Do not exercise regularly } & \text { Exercise regularly }\\\hline \bar { x } _ { 1 } = 73.2 \text { beats } / \mathrm { min } & \bar { x } _ { 2 } = 68.9 \text { beats } / \mathrm { min } \\\mathrm { s } _ { 1 } = 10.9 \text { beats } / \mathrm { min } & \mathrm { s } _ { 2 } = 8.2 \text { beats } / \mathrm { min } \\\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 12\end{array}\end{array}$$
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:

Functionalism

A theoretical framework in sociology that emphasizes the interdependence of the parts of a society and their role in maintaining societal stability.

Absolute Poverty

A condition characterized by the severe deprivation of basic human needs, including food, safe drinking water, sanitation facilities, health, shelter, education, and information.

Relative Poverty

A condition where people are considered poor relative to the living standards of the majority in the society they live in.

Economic Instability

A state where an economy experiences sharp fluctuations or a lack of steady growth, leading to uncertainty and potential financial crises.