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. Treatment Sham H1 #2 in 12 12 0.55 0.38 0.95 1.31 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? on de she efe OB. Ho: H1=42 H1: 41##2 OA Ho: H1<42 H1 H12H2 I te C. Ho H1=H2 OD. Ho: H1#42 H1: H1>H2 H1: H1<#2 ed a st The test statistic, t, is (Round to two decimal places as needed.) Get more help- Clear all
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. Treatment Sham H1 #2 in 12 12 0.55 0.38 0.95 1.31 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? on de she efe OB. Ho: H1=42 H1: 41##2 OA Ho: H1<42 H1 H12H2 I te C. Ho H1=H2 OD. Ho: H1#42 H1: H1>H2 H1: H1<#2 ed a st The test statistic, t, is (Round to two decimal places as needed.) Get more help- Clear all
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
-What is the test statistic, t ?
-The P-value is l ?
![**Study on the Effectiveness of Magnets in Treating Back Pain**
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table below 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.
**Table of Results:**
| | Treatment (µ₁) | Sham (µ₂) |
|------------|-----------------|-----------|
| n | 12 | 12 |
| x̄ | 0.55 | 0.38 |
| s | 0.95 | 1.31 |
**Tasks:**
a. Using a 0.05 significance level, 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?**
- A.
- H₀: µ₁ < µ₂
- H₁: µ₁ > µ₂
- B.
- H₀: µ₁ = µ₂
- H₁: µ₁ > µ₂
- C.
- H₀: µ₁ ≠ µ₂
- H₁: µ₁ = µ₂
- D.
- H₀: µ₁ ≠ µ₂
- H₁: µ₁ < µ₂
The correct choice is marked:
- **B.**
- **H₀: µ₁ = µ₂**
- **H₁: µ₁ > µ₂**
**Calculate:**
The test statistic, t, is [ ] (Round to two decimal places as needed).
---
This setup helps students understand how to formulate hypotheses and interpret a study using statistical methods.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feeeae640-eda4-416f-bdb6-83c98456529b%2Fa2ee236a-fc4f-4c1d-8593-c93e903b0741%2F1jfzzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Study on the Effectiveness of Magnets in Treating Back Pain**
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table below 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.
**Table of Results:**
| | Treatment (µ₁) | Sham (µ₂) |
|------------|-----------------|-----------|
| n | 12 | 12 |
| x̄ | 0.55 | 0.38 |
| s | 0.95 | 1.31 |
**Tasks:**
a. Using a 0.05 significance level, 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?**
- A.
- H₀: µ₁ < µ₂
- H₁: µ₁ > µ₂
- B.
- H₀: µ₁ = µ₂
- H₁: µ₁ > µ₂
- C.
- H₀: µ₁ ≠ µ₂
- H₁: µ₁ = µ₂
- D.
- H₀: µ₁ ≠ µ₂
- H₁: µ₁ < µ₂
The correct choice is marked:
- **B.**
- **H₀: µ₁ = µ₂**
- **H₁: µ₁ > µ₂**
**Calculate:**
The test statistic, t, is [ ] (Round to two decimal places as needed).
---
This setup helps students understand how to formulate hypotheses and interpret a study using statistical methods.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
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