3.A new thermal treatment process was designed to improve an Aluminum-Magnesium alloy in the auto industry. The company management decided to check the new treatment of metal alloys by comparing the specimens before treatment with after treatment. Eight specimens were selected for the test, and the results are listed below. After treatment Difference (a) Test the hypothesis that Ho: Hz-u = 0 versus H:: 42-Hi #0 at a significance level of 0.03. Before treatment Data Data (d) 6.8 6.6 -0.2 4.4 6.5 2.1 (b) Estimate P-value for the test. (Hint: It is easy to use online calculator to get P-value) 7.4 9.0 1.6 8.5 7.2 -1.3 8.1 7.9 -0.2 (c) Construct a 97% confidence interval for the mean 6.1 8.1 2.0 difference of the above data. 3.4 6.3 2.9 2.3 2.1 -0.2

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3.A new thermal treatment process was designed to improve an Aluminum-Magnesium alloy in the auto
industry. The company management decided to check the new treatment of metal alloys by
comparing the specimens before treatment with after treatment. Eight specimens were selected for
the test, and the results are listed below.
Before
After treatment
Difference
(a) Test the hypothesis that Ho: H2-H1 = 0 versus
treatment Data
Data
(d)
H1: µ2-HI # 0 at a significance level of 0.03.
6.8
6.6
-0.2
4.4
6.5
2.1
(b) Estimate P-value for the test. (Hint: It is easy to use
7.4
9.0
1.6
online calculator to get P-value)
8.5
7.2
-1.3
8.1
7.9
-0.2
(c) Construct a 97% confidence interval for the mean
2.0
6.1
8.1
difference of the above data.
3.4
6.3
2.9
2.3
2.1
-0.2
Transcribed Image Text:3.A new thermal treatment process was designed to improve an Aluminum-Magnesium alloy in the auto industry. The company management decided to check the new treatment of metal alloys by comparing the specimens before treatment with after treatment. Eight specimens were selected for the test, and the results are listed below. Before After treatment Difference (a) Test the hypothesis that Ho: H2-H1 = 0 versus treatment Data Data (d) H1: µ2-HI # 0 at a significance level of 0.03. 6.8 6.6 -0.2 4.4 6.5 2.1 (b) Estimate P-value for the test. (Hint: It is easy to use 7.4 9.0 1.6 online calculator to get P-value) 8.5 7.2 -1.3 8.1 7.9 -0.2 (c) Construct a 97% confidence interval for the mean 2.0 6.1 8.1 difference of the above data. 3.4 6.3 2.9 2.3 2.1 -0.2
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