Hoaglin, Mosteller, and Tukey (1983) presented data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery and again 10 minutes before surgery.  The data are presented below, in fmol/ml Construct a 95% confidence limits on the true mean difference between endorphin levels at the two times described.    Participant                   12 hours before           10 minutes before 1                                  10                                6.5 2                                  6.5                               14.0 3                                  8.0                               13.5 4                                  12                                18 5                                  5.0                               14.5 6                                  11.5                             9.0 7                                  5.0                               18.0 8                                  3.5                               42.0 9                                  7.5                               7.5 10                                5.8                               6.0 11                                4.7                               25.0 12                                8.0                               12.0 13                                7.0                               52.0 14                                17.0                             20.0 15                                8.8                               16.0 16                                17.0                             15.0 17                                15.0                             11.5 18                                4.4                               2.5 19                                2.0                               2.0

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Hoaglin, Mosteller, and Tukey (1983) presented data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery and again 10 minutes before surgery.  The data are presented below, in fmol/ml

Construct a 95% confidence limits on the true mean difference between endorphin levels at the two times described. 

 

Participant                   12 hours before           10 minutes before

1                                  10                                6.5

2                                  6.5                               14.0

3                                  8.0                               13.5

4                                  12                                18

5                                  5.0                               14.5

6                                  11.5                             9.0

7                                  5.0                               18.0

8                                  3.5                               42.0

9                                  7.5                               7.5

10                                5.8                               6.0

11                                4.7                               25.0

12                                8.0                               12.0

13                                7.0                               52.0

14                                17.0                             20.0

15                                8.8                               16.0

16                                17.0                             15.0

17                                15.0                             11.5

18                                4.4                               2.5

19                                2.0                               2.0

 
Expert Solution
Step 1
Participant 12 hours before(X) 10 minutes before (Y)
1 10 6.5
2 6.5 14
3 8 13.5
4 12 18
5 5 14.5
6 11.5 9
7 5 18
8 3.5 42
9 7.5 7.5
10 5.8 6
11 4.7 25
12 8 12
13 7 52
14 17 20
15 8.8 16
16 17 15
17 15 11.5
18 4.4 2.5
19 2 2
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