K In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.3 and a standard deviation of 17.5. Use a 0.10 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. What are the null and alternative hypotheses? OA. Ho: H=0 mg/dL H₁: μ#0 mg/dL OC. Ho: μ=0 mg/dL H₁: >0 mg/dL Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is IID OB. Ho: H=0 mg/dL H₁: <0 mg/dL O D. Ho: >0 mg/dL H₁: μ<0 mg/dL evidence to conclude that the mean of the population of changes 0.
K In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.3 and a standard deviation of 17.5. Use a 0.10 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. What are the null and alternative hypotheses? OA. Ho: H=0 mg/dL H₁: μ#0 mg/dL OC. Ho: μ=0 mg/dL H₁: >0 mg/dL Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is IID OB. Ho: H=0 mg/dL H₁: <0 mg/dL O D. Ho: >0 mg/dL H₁: μ<0 mg/dL evidence to conclude that the mean of the population of changes 0.
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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![**Cholesterol Lowering Effects of Garlic: A Statistical Analysis**
In a study to determine the effectiveness of garlic in lowering cholesterol, 81 subjects were treated with raw garlic. The LDL cholesterol levels (in mg/dL) were measured before and after the treatment. The changes in LDL cholesterol levels (before minus after) have a mean difference of 0.3 mg/dL and a standard deviation of 17.5 mg/dL. With a significance level (alpha) of 0.10, we aim to test the claim that garlic treatment leads to a mean change in LDL cholesterol levels that is greater than 0.
**Steps to Analyze:**
1. **Identify the Null and Alternative Hypotheses**
2. **Determine the Test Statistic**
3. **Determine the P-value**
4. **State the Final Conclusion**
**Null and Alternative Hypotheses Selection:**
- **Option A:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu \neq 0 \, \text{mg/dL}\)
- **Option B:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu < 0 \, \text{mg/dL}\)
- **Option C:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu > 0 \, \text{mg/dL}\)
- **Option D:**
- \( H_0 \): \(\mu \geq 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu < 0 \, \text{mg/dL}\)
**Analysis Process:**
1. **Determine the test statistic.** (Round to two decimal places as needed)
- [Input area for test statistic value]
2. **Determine the P-value.** (Round to three decimal places as needed)
- [Input area for P-value]
3. **State the final conclusion that addresses the original claim.**
- \( H_0 \): There is [dropdown menu for level of evidence] evidence to conclude that the mean of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e2c67c3-55ad-4a91-97db-08b4cce36966%2F903028fc-47d7-4bcc-8d57-cef9ae9dee07%2Fpw30fmh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Cholesterol Lowering Effects of Garlic: A Statistical Analysis**
In a study to determine the effectiveness of garlic in lowering cholesterol, 81 subjects were treated with raw garlic. The LDL cholesterol levels (in mg/dL) were measured before and after the treatment. The changes in LDL cholesterol levels (before minus after) have a mean difference of 0.3 mg/dL and a standard deviation of 17.5 mg/dL. With a significance level (alpha) of 0.10, we aim to test the claim that garlic treatment leads to a mean change in LDL cholesterol levels that is greater than 0.
**Steps to Analyze:**
1. **Identify the Null and Alternative Hypotheses**
2. **Determine the Test Statistic**
3. **Determine the P-value**
4. **State the Final Conclusion**
**Null and Alternative Hypotheses Selection:**
- **Option A:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu \neq 0 \, \text{mg/dL}\)
- **Option B:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu < 0 \, \text{mg/dL}\)
- **Option C:**
- \( H_0 \): \(\mu = 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu > 0 \, \text{mg/dL}\)
- **Option D:**
- \( H_0 \): \(\mu \geq 0 \, \text{mg/dL}\)
- \( H_1 \): \(\mu < 0 \, \text{mg/dL}\)
**Analysis Process:**
1. **Determine the test statistic.** (Round to two decimal places as needed)
- [Input area for test statistic value]
2. **Determine the P-value.** (Round to three decimal places as needed)
- [Input area for P-value]
3. **State the final conclusion that addresses the original claim.**
- \( H_0 \): There is [dropdown menu for level of evidence] evidence to conclude that the mean of
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