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) H group. The results are a measure of reduction in back pain. Assume that the two samples are ndependent 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 In 20 20 0.56 0.42 0.95 1.09 ..... OA. Ho: H1 H2 The test statistic, t, is 0.43. (Round to two decimal places as needed.) The P-value is 0.334 . (Round to three decimal places as needed.) State the conclusion for the test. 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. s it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a cham treatment, it is valid to argue that magnets might appear to be effective if the sample sizes are larger.
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) H group. The results are a measure of reduction in back pain. Assume that the two samples are ndependent 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 In 20 20 0.56 0.42 0.95 1.09 ..... OA. Ho: H1 H2 The test statistic, t, is 0.43. (Round to two decimal places as needed.) The P-value is 0.334 . (Round to three decimal places as needed.) State the conclusion for the test. 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. s it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a cham treatment, it is valid to argue that magnets might appear to be effective if the sample sizes are larger.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I need help with b."construct a confidence interval, suitable for testing the claim...."
![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.
### Statistical Hypotheses:
- **Option C:**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 \neq \mu_2 \)
The correct hypothesis choice is:
- **Option D:**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 > \mu_2 \)
### Summary Table:
| | Treatment (\(\mu_1\)) | Sham (\(\mu_2\)) |
|-----------|------------------------|------------------|
| \( n \) | 20 | 20 |
| \( \bar{x} \) | 0.56 | 0.42 |
| \( s \) | 0.95 | 1.09 |
### Test Results:
- **Test Statistic (t):** 0.43 (Rounded to two decimal places)
- **P-value:** 0.334 (Rounded to three decimal places)
### Conclusion:
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.
### Consideration of Larger Sample Sizes:
Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is valid to argue that magnets might appear to be effective if the sample sizes are larger.
### Confidence Interval:
Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
\[ < \mu_1 - \mu_2 < \]
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb321b15-005b-49cc-ad65-fe2885eda8a3%2F3f8f6746-1f4e-453c-8633-bba03f5a7a73%2Fsxb4vtd_processed.png&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.
### Statistical Hypotheses:
- **Option C:**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 \neq \mu_2 \)
The correct hypothesis choice is:
- **Option D:**
- \( H_0: \mu_1 = \mu_2 \)
- \( H_1: \mu_1 > \mu_2 \)
### Summary Table:
| | Treatment (\(\mu_1\)) | Sham (\(\mu_2\)) |
|-----------|------------------------|------------------|
| \( n \) | 20 | 20 |
| \( \bar{x} \) | 0.56 | 0.42 |
| \( s \) | 0.95 | 1.09 |
### Test Results:
- **Test Statistic (t):** 0.43 (Rounded to two decimal places)
- **P-value:** 0.334 (Rounded to three decimal places)
### Conclusion:
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.
### Consideration of Larger Sample Sizes:
Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is valid to argue that magnets might appear to be effective if the sample sizes are larger.
### Confidence Interval:
Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
\[ < \mu_1 - \mu_2 < \]
(Round to three decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
Expert Answers to Latest Homework Questions
Q: Expert of Account Solve this asap
Q: Summit Outdoors began the year with an
accounts receivable balance of $150,000 and
ended the year…
Q: Please provide problem with accounting question
Q: Please provide solution this accounting question
Q: DC Corporation's accounting records reflect the following
inventories:
Inventory Type
Dec. 31, 2023…
Q: Accounting problems
Q: What is the firm's return on equity?? Accounting
Q: BlueSky Corp. has $1.5 million in current
assets and $700,000 in fixed assets, less
$250,000 in…
Q: Hello tutor answer the accounting question not use ai please don't
Q: General accounting question
Q: Sarah bought 150 shares of stock at $28 per share. During
the year, she received $270 in dividends.…
Q: please post this question in Account tutors feed
Q: Need help with this question solution general accounting
Q: Question
Q: Please provide problem with accounting question
Q: What is its net income? Accounting question provide fats answer please
Q: Please need answer the financial accounting question
Q: Don't use ai given answer general accounting question
Q: Correct Answer
Q: Provide correct answer?
Q: Greenfield Industries sells a product for $80 per unit. Variable costs
per unit are $50, and monthly…