Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the production line and heat the ovens selected to 400 C after switching off. For a sample of 8 ovens the times in minutes are: Sample A 13.9 16.9 16.7 15.9 16.8 16.6 15.9 16.4 They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same temperature drop are Sample B 15.1 13.4 15 15.4 15.4 14.9 15.2 14.9 13.6 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U, and Uz) Here are the critical values for ny-8 and ny9, for the two-taled Mann-Whitney test Alpha Level 0.2 0.1 0.05 0.02 0.01 0.005 0.002 0.001 Critical Value 50 54 57 61 63 65 67 68 What is the p-value for the test? an anwer What is your conclusion after doling the test?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the
production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times in
minutes are:
Sample A
13.9
16.9
16.7
15.9
16.8
16.6
15.9
16.4
They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same
temperature drop are
Sample B
15.1
13.4
15
15.4
15.4
14.9
15.2
14.9
13.6
Are the firm justified in asserting there is no real evidence of a different rate of heat loss?
What is the Mann-Whitney U statistic (report the larger of U; and U2)
Here are the critical values for n-8 and ny-9, for the two-tailed Mann-Whitney test
0.1
0.02
0.005
0.002
0.001
Alpha Level
0.2
0.05
0.01
Critical Value
50
54
57
61
63
65
67
68
What is the p-value for the test? Select an
What is your conclusion after doing the test? Sect an
Submit Question
Transcribed Image Text:Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times in minutes are: Sample A 13.9 16.9 16.7 15.9 16.8 16.6 15.9 16.4 They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same temperature drop are Sample B 15.1 13.4 15 15.4 15.4 14.9 15.2 14.9 13.6 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U; and U2) Here are the critical values for n-8 and ny-9, for the two-tailed Mann-Whitney test 0.1 0.02 0.005 0.002 0.001 Alpha Level 0.2 0.05 0.01 Critical Value 50 54 57 61 63 65 67 68 What is the p-value for the test? Select an What is your conclusion after doing the test? Sect an Submit Question
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