A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before? State the hypotheses. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program? Determine the appropriate critical value and set up the decision rule. (α=0.05) Compute the test statistic. Interpret your results. Give your conclusion.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 16E
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A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before?

  1. State the hypotheses.
  2. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program?
  3. Determine the appropriate critical value and set up the decision rule. (α=0.05)
  4. Compute the test statistic.
  5. Interpret your results.
  6. Give your conclusion.
Systolic Blood Pressure Systolic Blood Pressure
Before Exercise Program After Exercise Program
Patient
1
125
118
132
134
3
138
130
4
120
124
125
105
6
127
130
7
136
130
Transcribed Image Text:Systolic Blood Pressure Systolic Blood Pressure Before Exercise Program After Exercise Program Patient 1 125 118 132 134 3 138 130 4 120 124 125 105 6 127 130 7 136 130
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