(a) Test the hypothesis that Ho: 2-Hi = 0 versus H1: uz-Hi #0 at a significance level of 0.03. (b) Estimate P-value for the test. (Hint: It is easy to use online calculator to get P-value) (c) Construct a 97% confidence interval for the mean difference of the above data.

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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
H1: µz-Hi #0 at a significance level of 0.03.
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
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
6.1
8.1
2.0
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 H1: µz-Hi #0 at a significance level of 0.03. 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 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 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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