A quality inspector measured the diameter of a ball bearing using a new type of caliper. The results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265, 0.268, 0.268, and 0.263. Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265 mm. Use a = 0.05. Match the answers. Parameter of Interest: Null and Alternative Hypothesis Test Statistic:
A quality inspector measured the diameter of a ball bearing using a new type of caliper. The results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265, 0.268, 0.268, and 0.263. Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265 mm. Use a = 0.05. Match the answers. Parameter of Interest: Null and Alternative Hypothesis Test Statistic:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A quality inspector measured the diameter of a ball bearing using a new type of caliper. The
results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265,
0.268, 0.268, and 0.263.
Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is 0.265
mm. Use a = 0.05.
Match the answers.
- v Parameter of Interest:
a. H:u = 0.265
v Null and Alternative Hypothesis
H:µ > 0.265
v Test Statistic:
b. w = min (w+,w-)
v Reject the Null Hypothesis if:
c. Fail to reject the null hypothesis.
v Conclusion:
w = 9 is not less than or equal to the critical value w
0.05.1=9= 5
d. Mean ball diameter
e. Reject the null hypothesis. The mean ball diameter claim is not 0.265 mm.
f. H:u = 0.265
H:µ + 0.265
g.r = min (R+,R-)
h. Η: μ:0.265
H:u < 0.265
i. w < wo.05. J=12 = 13
j. w < W0.05. n=9
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