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Construct the Indicated Confidence Interval for the Difference Between the Two

question 4

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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%99 \% confidence interval for u1\mathrm { u } _ { 1 } - u2\mathrm { u } _ { 2 } where u1u _ { 1 } and u2u _ { 2 } represent the mean for the treatment group and the control group respectively.
 Treatment Group  Control Groupn1=85n2=75x1=189.1x2=203.7 s1=38.7 s2=39.2\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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