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EMA 3800 HW 2 2012

# EMA 3800 HW 2 2012 - α = 0.05 What is the P-value for this...

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EMA 3800_ 6808 Dr. Rajiv Singh HW# 2 2-5 The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the following results are obtained: Days 108 138 124 163 124 159 106 134 115 139 (a) We would like to demonstrate that the mean shelf life exceeds 120 days. Set up appropriate hypotheses for investigating this claim. (b) Test these hypotheses using α = 0.01. What are your conclusions? (c) Find the P -value for the test in part (b). (d) Construct a 99 percent confidence interval on the mean shelf life. 2-11 The following are the burning times of chemical flares of two different formulations. The design engineers are interested in both the means and variance of the burning times. Type 1 Type 2 65 82 64 56 81 67 71 69 57 59 83 74 66 75 59 82 82 70 65 79 (a) Test the hypotheses that the two variances are equal. Use α = 0.05. (b) Using the results of (a), test the hypotheses that the mean burning times are equal. Use

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Unformatted text preview: α = 0.05. What is the P-value for this test? (c) Discuss the role of the normality assumption in this problem. Check the assumption of normality for both types of flares. 2-12 An article in Solid State Technology , "Orthogonal Design of Process Optimization and Its Application to Plasma Etching" by G.Z. Yin and D.W. Jillie (May, 1987) describes an experiment to determine the effect of C2F6 flow rate on the uniformity of the etch on a silicon wafer used in integrated circuit manufacturing. Data for two flow rates are as follows: (a) Does the C 2 F 6 flow rate affect average etch uniformity? Use α = 0.05. (b) What is the P-value for the test in part (a)? From the computer printout, P =0.21 (c) Does the C 2 F 6 flow rate affect the wafer-to-wafer variability in etch uniformity? Use α = 0.05. (d) Draw box plots to assist in the interpretation of the data from this experiment....
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EMA 3800 HW 2 2012 - α = 0.05 What is the P-value for this...

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