Test the Indicated Claim About the Means of Two Populations

question 77

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent and that they have been randomly selected.
-A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to test the claim that the treatment population mean µ1 is smaller than the control population mean µ2. Test the claim using a significance level of 0.01.
$\begin{array} { l } \text { Treatment Group }& \text { Control Group}\\\hline \mathrm{n}_{1}=85 &\mathrm{n}_{2}=75 \\\overline{\mathrm{x}_{1}}=189.1 & \overline{\mathrm{x}_{2}}=203.7 \\\mathrm{~s}_{1}=38.7 & \mathrm{~s}_{2}=39.2\end{array}$

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Definitions:

Air Pollution

The presence of harmful substances in the air that can cause health problems for humans, damage the environment, and contribute to climate change.

Efficient Adaptation Strategies

Methods or approaches that effectively adjust to new conditions or environments with minimal waste of resources.

Global Warming

The long-term rise in the average temperature of the Earth’s climate system, largely attributed to human activities such as burning fossil fuels and deforestation.

Kyoto Treaty

An international agreement aimed at reducing carbon dioxide emissions and the presence of other greenhouse gases to combat global warming.