Wilcoxon signed-rank test


Montgomery, Peck, and Vining (2001) report on a study in which a rocket motor is formed by binding an igniter propellant and a sustainer propellant together inside a metal housing. The shear strength of the bond between the two propellant types is an important characteristic. Results of testing 20 randomly selected motors are shown in the following table. Test the hypothesis that the median shear strength is 2000 psi using the Wilcoxon Signed-Rank Test.

Observation

Shear Strength, psi

1

2458

2

2390

3

2478

4

1497

5

2135

6

2379

7

1963

8

2070

9

2699

10

2191

11

2208

12

2123

13

1663

14

2042

15

2081

16

2045

17

2460

18

1745

19

1970

20

1719

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Basic Statistics: Wilcoxon signed-rank test
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