Assume That the Two Samples Are Independent Simple Random Samples

question 122

Essay

Assume that the two samples are independent simple random samples selected from normally distributed
populations. Do not assume that the population standard deviations are equal. A researcher wishes to
determine whether people can reduce their resting heart rate by following a particular diet. Construct a 95%
confidence interval estimate for the following data. Does the confidence interval support that the mean resting
heart rate for those on the diet is lower than that of those not on the diet? Explain your reasoning. $$\begin{array} { | l | l | } \hline \hline { \text { Treatment Group } } & { \text { Control Group } } \\\hline n _ { 1 } = 35 & n _ { 2 } = 38 \\\hline \bar { x } _ { 1 } = 79.1 & \bar { x } _ { 2 } = 84.7 \\\hline s _ { 1 } = 8.7 & s _ { 2 } = 9.2 \\\hline\end{array}$$