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...

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Extracted 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.