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An engineering firm is involved in selecting a computer system, and the choice has been narrowed to two manufacturers. The firm submits eight problems to the two computer manufacturers and has each manufacturer measure the number of seconds required to solve the design problem with the manufacturer's software. The times for the eight design problems are given below.
Design problem
1
2
3
4
5
6
7
8
Time with computer A
15
32
17
26
42
29
12
38
Time with computer B
22
23
46
25
19
47
Determine the p-value of the sign test when testing the hypothesis that there is no difference in the distribution of the time it takes the two types of software to solve problems.
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