Construct the Indicated Confidence Interval for the Difference Between the Two

question 4

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. 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 construct a $99 \%$ confidence interval for $\mathrm { u } _ { 1 }$ - $\mathrm { u } _ { 2 }$ where $u _ { 1 }$ and $u _ { 2 }$ represent the mean for the treatment group and the control group respectively.
$\begin{array} { l } \text { Treatment Group }& \text { Control Group}\\\hline \mathrm{n}_{1}=85 &\mathrm{n}_{2}=75 \\\overline{\mathrm{x}_{1}}=189.1 & \overline{\mathrm{x}_{2}}=203.7 \\\mathrm{~s}_{1}=38.7 & \mathrm{~s}_{2}=39.2\end{array}$

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Definitions:

Integrated Pattern

A comprehensive arrangement or structure that links various elements or components into a coherent whole.

Human Behavior

Human behavior is the range of actions, reactions, and interactions of humans in response to external and internal stimuli.