A question of medical interest is whether jogging leads to a reduction in systolic blood pressure. To learn about this question, eight non-jogging volunteers have agreed to begin a 1-month jogging program. At the end of the month, their blood pressures were determined and compared with earlier values. The data are presented in the Table 1.
a. The appropriate hypotheses are:
-
H0 :μ1−μ2 =0 versus Ha :μ1−μ2 /= (does not equal) 0
-
H0 :μ1−μ2 =0 versus Ha :μ1−μ2 <0
-
H0 :μ1−μ2 =0 versus Ha :μ1−μ2 >0
b. The value of test statistic is
1. 0.577
2. −0.577
3. 0.237
4. -0.237
c. The p−value of test is
1. 0.816
2. 0.408
3. 0.582
4. 0.291
d. At the significance level calculated in part (c), we conclude that jogging
i. Leads to reduction in systolic blood pressure
ii. Does not lead to reduction in systolic blood pressure
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