### Hypothesis Testing for Garlic's Effectiveness in Lowering CholesterolIn a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after treatment. The changes in LDL cholesterol (in mg/dL) have a mean of 0.3 and a standard deviation of 20. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.#### Steps and Questions1. **What are the null and alternative hypotheses?** - Option A: - \( H_0: \mu = 0 \, \text{mg/dL} \) - \( H_1: \mu > 0 \, \text{mg/dL} \) - Option B: - \( H_0: \mu = 0 \, \text{mg/dL} \) - \( H_1: \mu < 0 \, \text{mg/dL} \) - Option C: - \( H_0: \mu \neq 0 \, \text{mg/dL} \) - \( H_1: \mu = 0 \, \text{mg/dL} \) - Option D: - \( H_0: \mu = 0 \, \text{mg/dL} \) - \( H_1: \mu > 0 \, \text{mg/dL} \)2. **Determine the test statistic.** - (Round to three decimal places as needed)3. **Determine the P-value.** - (Round to two decimal places as needed)4. **State the final conclusion that addresses the original claim.** - Choose from: \( H_0 \) or \( H_1 \) - Determine if there is evidence to conclude that the mean of the population changes.This exercise involves determining the correct hypotheses, calculating the test statistic, and finding the P-value to draw conclusions regarding the effectiveness of garlic on cholesterol levels.

Given,sample size(n)=81sample mean(x¯)=0.3standard deviation(S)=20.9α=0.10

Answered: In a test of the effectiveness of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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