Question

A physical therapist developed a new yoga regimen specifically for treating back pain. She collected a random sample of chronic back pain patients from the hospital that underwent the new regimen for 35 days. For each day of the study, the patients are asked to rate their back pain on a scale from 0-10; no pain to extreme pain, respectively. Chronic back pain sufferers typically report a 8 on the pain scale. Below are the average back pain scores for the patients over the study. What can be concluded with an α of 0.01?

id	pain
11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10	5 9 4 7 8 6 6 3 6 6 7 5 5 8 3 3 4 8 9 7 9

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- chronic back pain sufferer pain the hospital patients on the regimen 35 days
Sample:
---Select--- chronic back pain sufferer pain the hospital patients on the regimen 35 days

c) Input the appropriate value(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

The new yoga regimen significantly worsens back pain.The new yoga regimen significantly improves back pain.    The new yoga regimen is not significantly effective at treating back pain.

Answer 1

a. one sample t-test

b. Population: All chronic back pain patients from the hospital that underwent the new regimen for 35 days.

Sample: Only 21 chronic back pain patients from the hospital that underwent the new regimen for 35 days

c. Null Hypothesis: There is no effect of new yoga regimen.

Alternative Hypothesis: It does affect the chronic back pain patients.

p-value= 0.00029

Decision: Here we are rejecting the null hypothesis and accepting the alternative hypothesis. That means the new yoga regime is good for chronic back pain patients and reducing the pain.

d. d=NA

r2= NA

e.The new yoga regimen significantly improves back pain.