In a test of the effectiveness of garlic for lowering cholesterol, 42 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 2.9 and a standard deviation of 16.7. Construct a 95% 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 at 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 u? I mg/dL

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## Understanding Confidence Intervals in Cholesterol Studies

### Study Overview

In a research study assessing the effectiveness of garlic in lowering cholesterol, 42 participants were given garlic in a processed tablet form. Their cholesterol levels were measured both before and after treatment. The focus was on changes in LDL cholesterol (measured in mg/dL), which had a mean of 2.9 and a standard deviation of 16.7. The aim is to construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after administering the garlic treatment.

### Research Questions

- **What does the confidence interval indicate about garlic's effectiveness in reducing LDL cholesterol levels?**

### Helpful Resources

- [t Distribution Table](#)
- [Standard Normal Distribution Table - Page 1](#)
- [Standard Normal Distribution Table - Page 2](#)

### Confidence Interval Calculation

**Question:**  
What is the confidence interval estimate of the population mean \( \mu \)?

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

*(Round to two decimal places as needed.)*

#### Instructions

- Enter the calculated values into the fields and click "Check Answer."

This exercise will help you understand how confidence intervals are used in medical studies to assess treatment effectiveness.
Transcribed Image Text:## Understanding Confidence Intervals in Cholesterol Studies ### Study Overview In a research study assessing the effectiveness of garlic in lowering cholesterol, 42 participants were given garlic in a processed tablet form. Their cholesterol levels were measured both before and after treatment. The focus was on changes in LDL cholesterol (measured in mg/dL), which had a mean of 2.9 and a standard deviation of 16.7. The aim is to construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after administering the garlic treatment. ### Research Questions - **What does the confidence interval indicate about garlic's effectiveness in reducing LDL cholesterol levels?** ### Helpful Resources - [t Distribution Table](#) - [Standard Normal Distribution Table - Page 1](#) - [Standard Normal Distribution Table - Page 2](#) ### Confidence Interval Calculation **Question:** What is the confidence interval estimate of the population mean \( \mu \)? \[ \text{mg/dL} < \mu < \text{mg/dL} \] *(Round to two decimal places as needed.)* #### Instructions - Enter the calculated values into the fields and click "Check Answer." This exercise will help you understand how confidence intervals are used in medical studies to assess treatment effectiveness.
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