3. Two quality control technicians measured the surface finish of a metal part and obtained the...

 

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3. Two quality control technicians measured the surface finish of a metal part and obtained the following measurements A: B: 1.21, 1.37, 1.48, 1.45, 1.54, 1.29, 1.34 1.35, 1.41, 1.20, 1.54, 1.37, 1.31, 1.27, 1.56 Assume these measurements were normally distributed with variances equality, answer the following questions. 3.1 At a = 0.01, is average surface finish measurements made by the two technicians equal on average? What are the practical implications, if any, of your answer? [13] 3.2 At a = 0.01, are the variances of the measurements made by the two technicians equal? [11] 3.3 Interpret a 95% confidence interval estimate for the ratio of the variances of technician measurement error. [8] 3. Two quality control technicians measured the surface finish of a metal part and obtained the following measurements A: B: 1.21, 1.37, 1.48, 1.45, 1.54, 1.29, 1.34 1.35, 1.41, 1.20, 1.54, 1.37, 1.31, 1.27, 1.56 Assume these measurements were normally distributed with variances equality, answer the following questions. 3.1 At a = 0.01, is average surface finish measurements made by the two technicians equal on average? What are the practical implications, if any, of your answer? [13] 3.2 At a = 0.01, are the variances of the measurements made by the two technicians equal? [11] 3.3 Interpret a 95% confidence interval estimate for the ratio of the variances of technician measurement error. [8]

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