Assume That the Two Samples Are Independent Simple Random Samples

question 39

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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Definitions:

Liver Disease

A broad term that encompasses a range of conditions affecting liver function, including hepatitis, cirrhosis, and liver cancer.

Serum Glucose Levels

The concentration of glucose in the serum part of the blood, an important indicator of metabolic health and diabetes management.

Catheter Care

The maintenance and hygiene practices involved in managing a catheter, a tube inserted in the body to drain and collect urine from the bladder.

Parenteral Nutrition

A method of feeding that bypasses the gastrointestinal tract, delivering nutrients directly into the bloodstream through an intravenous solution.