SOLUTION: A salesman paid 12 visits to his area sales manager and noted that he had to wait for 10,15,20,17,11,25,30,27,36,40,5 and 26 minutes, respectively, before being called in his offic

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Question 916146: A salesman paid 12 visits to his area sales manager and noted that he had to wait for 10,15,20,17,11,25,30,27,36,40,5 and 26 minutes, respectively, before being called in his office. The area sales manager claims that the salesmen wishing to meet him do not have to wait for more than 20 minutes before being called in. Using the sign test, verify at 0.05 level of significance the claim made by the area sales manager.
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Ho mean <= 20 (claim)
Ha mean > 20
1 10 -10
2 15 -5
3 20 0
4 17 -3
5 11 -9
6 25 5 *
7 30 10 *
8 27 7 *
9 36 16 *
10 40 20 *
11 5 -15
12 26 6 *
0.05 level of significance (one-tailed)
the decision rule is to reject Ho if the smaller of the number of positive or negative signs < 2
6 neg, 6 pos
We do not reject Ho because 6 > 2
n a = .01 a = .02 a = .05 a = .10
3 0
4 0
5 0 0
6 0 0 1
7 0 1 1
8 0 0 1 1
9 0 1 1 2
10 0 1 1 2
11 0 1 2 3
12 1 2 2 3