Chapter 14.3, Problem 1Q

The average energy expenditures for eight elderly women were estimated on the basis of information received from a battery-powered heart rate monitor that each subject wore. Two overall averages were calculated

Average Daily Energy Expenditures (kcal)
Subject	Summer, $x_i$	Winter, $y_i$
1	1458	1424
2	1352	1501
3	2209	1495
4	1804	1739
5	1912	2031
6	1366	934
7	1598	1401
8	1406	1339

for each woman, one for the summer months and one for the winter months (164), as shown in the following table. Let ${\text{μ}}_D$ denote the location difference between the summer and winter energy expenditure populations. Compute $y_i-x_i,i=1,2,\mathrm{....},8$ and use the Wilcoxon signed rank procedure to test

$H_0:\text{μ}D=0$

versus

$H_0:\text{μ}D\ne 0$

Let $a=\mathrm{0.15.}$