Questions: A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg / dL. Cholesterol in mg/dL Control: 241, 243, 242, 245, 250, 248, 246, 245, 242, 247 Treatment: 230, 225, 220, 218, 224, 240, 232, 221, 235, 224 What is the mean of the control group? Round to the nearest tenth. a. 244.9 b. 226.9 c. 235.7 d. 228.3

A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg / dL. Cholesterol in mg/dL Control: 241, 243, 242, 245, 250, 248, 246, 245, 242, 247 Treatment: 230, 225, 220, 218, 224, 240, 232, 221, 235, 224 What is the mean of the control group? Round to the nearest tenth. a. 244.9 b. 226.9 c. 235.7 d. 228.3
Transcript text: A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of $245 \mathrm{mg} / \mathrm{dL}$. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Cholesterol in mg/dL } \\ \hline Control & 241 & 243 & 242 & 245 & 250 & 248 & 246 & 245 & 242 & 247 \\ \hline Treatment & 230 & 225 & 220 & 218 & 224 & 240 & 232 & 221 & 235 & 224 \\ \hline \end{tabular} What is the mean of the control group? Round to the nearest tenth. a. 244.9 b. 226.9 c. 235.7 d. 228.3
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Solution

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Solution Steps

Step 1: Calculate the Mean of the Control Group

To find the mean of the control group, we use the formula for the mean:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} \]

where \( N \) is the number of observations and \( x_i \) are the individual observations. For the control group, the cholesterol levels are:

\[ \{241, 243, 242, 245, 250, 248, 246, 245, 242, 247\} \]

Calculating the sum of these values:

\[ \sum_{i=1}^{10} x_i = 241 + 243 + 242 + 245 + 250 + 248 + 246 + 245 + 242 + 247 = 2449 \]

Now, substituting into the mean formula:

\[ \mu = \frac{2449}{10} = 244.9 \]

Final Answer

The mean of the control group is

\(\boxed{244.9}\).

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