1. In a test of the effectiveness of garlic for lowering cholesterol, 43 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 4.2 and a standard deviation of 19.4. 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?
1. In a test of the effectiveness of garlic for lowering cholesterol, 43 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 4.2 and a standard deviation of 19.4. 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?
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 3SE: What is an experiment?
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Transcribed Image Text:**Title: Evaluating the Effectiveness of Garlic in Lowering LDL Cholesterol**
**Study Overview:**
In a research study examining the effectiveness of garlic tablets in reducing cholesterol levels, 43 subjects participated in a trial. Each subject received garlic in a processed tablet form, and cholesterol levels were recorded both before and after the treatment.
**Key Data:**
- **Subjects:** 43
- **Measurement:** LDL cholesterol change (mg/dL)
- **Mean change:** 4.2 mg/dL
- **Standard deviation:** 19.4 mg/dL
**Objective:**
To construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after administering garlic treatment. Furthermore, the study seeks to understand what this confidence interval implies about garlic's efficacy in lowering LDL cholesterol.
**Statistical Analysis:**
The confidence interval provides a range of values within which the true mean difference in LDL cholesterol is likely to fall, 99% of the time, considering the sample data. If this interval does not include zero and is largely negative, it suggests garlic effectively reduces LDL cholesterol. Conversely, an interval including zero implies the effectiveness might not be statistically significant.
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