In a test of the effectiveness of garlic for lowering cholesterol, 48 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before - after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.4 and a standard deviation of 18.6. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean µ? mg/dL < µ< mg/dL (Round to two decimal places as needed.)

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**Educational Website Content - Understanding Confidence Intervals in Cholesterol Studies**

**Study on the Effectiveness of Garlic in Lowering Cholesterol**

In a scientific study evaluating the use of garlic for lowering cholesterol, 48 participants were treated with garlic in a processed tablet form. The study measured LDL cholesterol levels before and after the garlic treatment. The changes in LDL cholesterol levels (measured in mg/dL) were recorded, resulting in a mean change of 5.4 mg/dL and a standard deviation of 18.6 mg/dL. 

The objective is to construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after treatment. This confidence interval will help assess the effectiveness of garlic in reducing LDL cholesterol.

*Reference Material:*
- [Click here to view a t distribution table.](#)
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)

**Confidence Interval Estimation**

To estimate the confidence interval for the population mean (µ), complete the following expression:

\[ \text{mg/dL} < \mu < \text{mg/dL} \]

**Note:**
The confidence interval results should be rounded to two decimal places as needed.

---

**Graphical Explanation**

There are no specific diagrams or graphs provided in the text. However, the process to construct the confidence interval typically involves the use of statistical tables (like the t-distribution table) referenced above. These tables provide critical values needed to calculate the interval, ensuring that the interval has the desired level of confidence (99% in this scenario) about containing the true population mean. 

This content provides a foundation to understand how confidence intervals serve in evaluating the effectiveness of treatments in scientific studies, in this case, the use of garlic for reducing LDL cholesterol.
Transcribed Image Text:**Educational Website Content - Understanding Confidence Intervals in Cholesterol Studies** **Study on the Effectiveness of Garlic in Lowering Cholesterol** In a scientific study evaluating the use of garlic for lowering cholesterol, 48 participants were treated with garlic in a processed tablet form. The study measured LDL cholesterol levels before and after the garlic treatment. The changes in LDL cholesterol levels (measured in mg/dL) were recorded, resulting in a mean change of 5.4 mg/dL and a standard deviation of 18.6 mg/dL. The objective is to construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after treatment. This confidence interval will help assess the effectiveness of garlic in reducing LDL cholesterol. *Reference Material:* - [Click here to view a t distribution table.](#) - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) **Confidence Interval Estimation** To estimate the confidence interval for the population mean (µ), complete the following expression: \[ \text{mg/dL} < \mu < \text{mg/dL} \] **Note:** The confidence interval results should be rounded to two decimal places as needed. --- **Graphical Explanation** There are no specific diagrams or graphs provided in the text. However, the process to construct the confidence interval typically involves the use of statistical tables (like the t-distribution table) referenced above. These tables provide critical values needed to calculate the interval, ensuring that the interval has the desired level of confidence (99% in this scenario) about containing the true population mean. This content provides a foundation to understand how confidence intervals serve in evaluating the effectiveness of treatments in scientific studies, in this case, the use of garlic for reducing LDL cholesterol.
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