Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 22 0.49 0.57 In 22 0 44 1.17 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O A. H, H1 = 2 H: 41 H2 OC. Ho: H1 H2 OB. H, H1 =H2 H: H1 > H2 OD. Ho H1
Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 22 0.49 0.57 In 22 0 44 1.17 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O A. H, H1 = 2 H: 41 H2 OC. Ho: H1 H2 OB. H, H1 =H2 H: H1 > H2 OD. Ho H1
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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Q1A
Hi wonderful Bartleby team, I need help with this exercise, please provide answer and short explanation for all the answers. Thanks in advance.
The last part of it is the sentence and the options are:
-(Reject/ Fail to reject) the null hypothesis. There (Is / Not) sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
![Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
***
### Table Summary
- **Treatment:**
- Number of Participants (_n_): 22
- Mean Reduction (_x̄_): 0.49
- Standard Deviation (_s_): 0.57
- **Sham:**
- Number of Participants (_n_): 22
- Mean Reduction (_x̄_): 0.44
- Standard Deviation (_s_): 1.17
### Problem Statement:
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
### Questions:
- What are the null and alternative hypotheses?
- **A.**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 \neq \mu_2 \)
- **B.**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 > \mu_2 \)
- **C.**
- \( H_0: \mu_1 \neq \mu_2 \)
- \( H_1: \mu_1 < \mu_2 \)
- **D.**
- \( H_0: \mu_1 < \mu_2 \)
- \( H_1: \mu_1 \geq \mu_2 \)
### Instructions:
- The test statistic, \( t \), is _____. (Round to two decimal places as needed.)
- The P-value is _____. (Round to three decimal places as needed.)
### Conclusion:
- [ ] **Reject** the null hypothesis. There _____ sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2Fdf2473a4-a84b-4dc0-a462-baf18f59884e%2Fn2gvd8b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
***
### Table Summary
- **Treatment:**
- Number of Participants (_n_): 22
- Mean Reduction (_x̄_): 0.49
- Standard Deviation (_s_): 0.57
- **Sham:**
- Number of Participants (_n_): 22
- Mean Reduction (_x̄_): 0.44
- Standard Deviation (_s_): 1.17
### Problem Statement:
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
### Questions:
- What are the null and alternative hypotheses?
- **A.**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 \neq \mu_2 \)
- **B.**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 > \mu_2 \)
- **C.**
- \( H_0: \mu_1 \neq \mu_2 \)
- \( H_1: \mu_1 < \mu_2 \)
- **D.**
- \( H_0: \mu_1 < \mu_2 \)
- \( H_1: \mu_1 \geq \mu_2 \)
### Instructions:
- The test statistic, \( t \), is _____. (Round to two decimal places as needed.)
- The P-value is _____. (Round to three decimal places as needed.)
### Conclusion:
- [ ] **Reject** the null hypothesis. There _____ sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
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