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 /=

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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:

  1. H0 :μ1−μ2 =0 versus Ha :μ1−μ2 /= (does not equal) 0

  2. H0 :μ1−μ2 =0 versus Ha :μ1−μ2 <0

  3. 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

1
Subject
Before
2
3
4
6
7
8
134 122
118
130
144
125
127
133
After
130 120
123
127
138
121
132
135
Difference
4
-5
3
6
4
-5
-2
Table 1: Blood pressures of eight test subjects
Transcribed Image Text:1 Subject Before 2 3 4 6 7 8 134 122 118 130 144 125 127 133 After 130 120 123 127 138 121 132 135 Difference 4 -5 3 6 4 -5 -2 Table 1: Blood pressures of eight test subjects
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