USE MINITAB UPLOAD SCREENSHOTS Two engineers describe an experiment to investigate the warping of copper plates The two factors studied were the temperature and the copper content of the plates The response variable was a measure of the amount of warping The data were as follows Copper Content ( ) Temperature (C) 40 60 80 100 50 17, 19 18, 21 24, 22 28, 27 75 12, 11 15, 14 17, 12 28, 31 100 16, 17 19, 21 25, 23 27, 23 125 21, 19 22, 21 23, 21 29, 31 Is there any indication that either factor affects the amount of warping Is there any interaction between the factors Use a 0 05 State the hypotheses, What is the value of the test statistic What is the p value What is the decision Make conclusions Write down the statistical model and its assumptions Analyze the residuals from this experiment Are the basic analysis of variance assumptions satisfied Use Tukeys test to compare all pair of warping means for all levels of copper content Describe the differences in the effects of the different levels of copper content on warping If low warping is desirable, what level of copper content would you specify Suppose that temperature cannot be easily controlled in the environment in which the copper plates are to be used Does this change your answer for part (c)

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Question: USE MINITAB. UPLOAD SCREENSHOTS Two engineers describe an experiment to investigate the warping of copper plates. The two factors studied were the temperature and the

USE MINITAB. UPLOAD SCREENSHOTS

Two engineers describe an experiment to investigate the warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows:

	Copper Content (%)
Temperature (C)	40	60	80	100
50	17, 19	18, 21	24, 22	28, 27
75	12, 11	15, 14	17, 12	28, 31
100	16, 17	19, 21	25, 23	27, 23
125	21, 19	22, 21	23, 21	29, 31

Is there any indication that either factor affects the amount of warping? Is there any interaction between the factors? Use a = 0.05.
1. State the hypotheses,
2. What is the value of the test statistic?
3. What is the p-value?
4. What is the decision?
5. Make conclusions.
Write down the statistical model and its assumptions.
Analyze the residuals from this experiment. Are the basic analysis of variance assumptions satisfied?
Use Tukeys test to compare all pair of warping means for all levels of copper content. Describe the differences in the effects of the different levels of copper content on warping. If low warping is desirable, what level of copper content would you specify?
Suppose that temperature cannot be easily controlled in the environment in which the copper plates are to be used. Does this change your answer for part (c)?

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