Review Problems chapter 10 and 12

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Industrial Engineering

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Jan 9, 2024

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10.10 Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assemblies using operation A shows that the sample average time per assembly is 8.05 minutes, with a population standard deviation of 1.36 minutes. A random sample of 38 different assemblies using operation B shows that the sample average time per assembly is 7.26 minutes, with a population standard deviation of 1.06 minutes. For α = 0.10, is there enough evidence in these samples to declare that operation A takes significantly longer to perform than operation B?
12.12 Can the annual new orders for manufacturing in the United States be predicted by the raw steel production in the United States? Shown below are the annual new orders for 10 years according to the U.S. Census Bureau and the raw steel production for the same 10 years as published by the American Iron & Steel Institute. Use these data to: a. find the correlations between the two variables and interpret the values. b. develop a regression model to predict annual new orders by raw steel production. c. find the R-square value and interpret it. d. Find the residual value for each year. R N Raw Steel Production (100,000s of net tons) New Orders ($trillions) Fitted Values Residuals 99.9 2.74 97.9 2.87 98.9 2.93 87.9 2.87 92.9 2.98 97.9 3.09 100.6 3.36 104.9 3.61 105.3 3.75 108.6 3.95 ∑ R = 995 ∑ R 2 = 99293 ∑ R N = 3216.6 ∑ N = 32.1 ∑ N 2 = 105
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