Assume That the Two Samples Are Independent Simple Random Samples

question 33

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. $$\begin{array} { | l | l | } \hline \text { Treatment Group } &{ \text { Control Group } } \\\hline n _ { 1 } = 35 & n _ { 2 } = 38 \\\hline \bar { x } _ { 1 } = 79.1 & \bar { x } _ { 2 } = 84.7 \\\hline s _ { 1 } = 8.7 & s _ { 2 } = 9.2 \\\hline\end{array}$$

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