A Researcher Wishes to Determine Whether People with High Blood $\mu _ { 1 } - \mu _ { 2 }$

Essay

A researcher wishes to determine whether people with high blood pressure can lower their blood pressure by performing yoga exercises. A treatment group and a control group are selected. The sample statistics are given below. Construct a 90 % confidence interval for the difference between the two population means, $\mu _ { 1 } - \mu _ { 2 }$ Would you recommend using yoga exercises? Explain your reasoning.
$\begin{array} { l l } \mathrm { n } 1 = 100 & \mathrm { n } _ { 2 } = 100 \\\overline { \mathrm { x } } 1 = 178 & \overline { \mathrm { x } } 2 = 193 \\\mathrm {~s} 1 = 35 & \mathrm {~s} 2 = 37\end{array}$