MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A primer paint can be used on aluminum panels. The primer's drying time is an important
consideration in the manufacturing process. Twenty panels are selected, and the drying times
in hours are as follows:
1.6, 1.3, 1.5, 1.6, 1.7, 1.9, 1.8, 1.6, 1.4, 1.8, 1.9, 1.8, 1.7, 1.5, 1.6, 1.4, 1.3, 1.6, 1.5, 1.8.
Use the Wilcoxon signed-rank test. Is there evidence that the mean drying time of the primer
exceeds 1.5 hours? Use a = 0.05. Match the answers.
a. Hi u = 1.5
H; u > 1.5
Parameter of interest:
Null and Alternative Hypothesis:
v Reject the Null Hypothesis if:
b.w = max (w +,w¯) =126
Computation:
w += 126
Conclusion:
w- = 27
c.w swi.05.=17 = 34
d. Mean drying time of the primer
e.w <wo.05.n=20 = 52
f. w sw.05.=17
= 41
Fail to reject the null hypothesis. The mean drying time is 1.5 hours.
h. Hi H = 1.5
Hi# # 1.5
i. Reject the null hypothesis. The mean drying time of the primer exceeds
1.5
j- w = min (w+, w¯)
w+= 126
w- = 27
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Transcribed Image Text:A primer paint can be used on aluminum panels. The primer's drying time is an important consideration in the manufacturing process. Twenty panels are selected, and the drying times in hours are as follows: 1.6, 1.3, 1.5, 1.6, 1.7, 1.9, 1.8, 1.6, 1.4, 1.8, 1.9, 1.8, 1.7, 1.5, 1.6, 1.4, 1.3, 1.6, 1.5, 1.8. Use the Wilcoxon signed-rank test. Is there evidence that the mean drying time of the primer exceeds 1.5 hours? Use a = 0.05. Match the answers. a. Hi u = 1.5 H; u > 1.5 Parameter of interest: Null and Alternative Hypothesis: v Reject the Null Hypothesis if: b.w = max (w +,w¯) =126 Computation: w += 126 Conclusion: w- = 27 c.w swi.05.=17 = 34 d. Mean drying time of the primer e.w <wo.05.n=20 = 52 f. w sw.05.=17 = 41 Fail to reject the null hypothesis. The mean drying time is 1.5 hours. h. Hi H = 1.5 Hi# # 1.5 i. Reject the null hypothesis. The mean drying time of the primer exceeds 1.5 j- w = min (w+, w¯) w+= 126 w- = 27
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