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:

Balance of Trade

The difference between a country's exports and imports of goods and services.

Exports

Goods or services sold by a country to buyers in other countries, contributing to the exporting nation’s economy.

Imports

Goods or services brought into one country from another to satisfy domestic consumption or production needs.

Exchange Rate

The price at which one currency can be exchanged for another, playing a critical role in international trade and finance.