Ultrasound is often used in the treatment of soft tissue injuries. In an experiment to investigate the effect of an ultrasound and stretch therapy on knee extension, range of motion was measured both before and after treatment for a sample of physical therapy patients. The data is given in table: Subjects Pre-treatment Post-treatment 1 45 B 2 25 37 3 41 50 4 40 53 27 25 6. 44 50 7 50 59 8. 33 43 9. 33 30 10 39 47 11 40 52 12 52 50 Is there evidence that the ultrasound and stretch treatment increases range of motion? Use a = 0.01 a) State the hypotheses. b) Compute the test statistic. c) Find p-value and write your rejection criterion. d) Make the decision to reject or not reject the null hypothesis. e) Summarize the results and interpret your decision.
Ultrasound is often used in the treatment of soft tissue injuries. In an experiment to investigate the effect of an ultrasound and stretch therapy on knee extension, range of motion was measured both before and after treatment for a sample of physical therapy patients. The data is given in table: Subjects Pre-treatment Post-treatment 1 45 B 2 25 37 3 41 50 4 40 53 27 25 6. 44 50 7 50 59 8. 33 43 9. 33 30 10 39 47 11 40 52 12 52 50 Is there evidence that the ultrasound and stretch treatment increases range of motion? Use a = 0.01 a) State the hypotheses. b) Compute the test statistic. c) Find p-value and write your rejection criterion. d) Make the decision to reject or not reject the null hypothesis. e) Summarize the results and interpret your decision.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Transcribed Image Text:Ultrasound is often used in the treatment of soft tissue injuries. In an experiment to
investigate the effect of an ultrasound and stretch therapy on knee extension, range of
motion was measured both before and after treatment for a sample of physical therapy
patients. The data is given in table:
Subjects Pre-treatment
Post-treatment
1
45
25
37
3
41
50
4
40
53
27
25
44
50
7
50
59
8
33
43
33
30
10
39
47
11
40
52
12
52
50
Is there evidence that the ultrasound and stretch treatment increases range of motion? Use
a = 0.01
a) State the hypotheses.
b) Compute the test statistic.
c) Find p-value and write your rejection criterion.
d) Make the decision to reject or not reject the null hypothesis.
e) Summarize the results and interpret your decision.
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