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Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. Quality control personnel inspect a random sample of the teams assemblies and judge each assembly to be acceptable or unacceptable. A random sample of 127 assemblies from team 1 shows 12 unacceptable assemblies. A similar random sample of 98 assemblies from team 2 shows 5 unacceptable assemblies.
a. Construct a 90% confidence interval for the difference between the portions of unacceptable assemblies generated by the two teams.
b. Based on a review of the confidence interval found in part a, is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their portions of unacceptable assemblies. Conduct a hypothesis test to prove this theorem.
c. For which values of the differences between these two sample portions could you conclude that a statistically significant difference exists? (at ? = .10 level)
Formulate a linear programming model for this problem.
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The number of items rejected daily by a manufacturer because of defect for the last 30 days are 22, 21, 8, 17, 25, 20, 18, 19, 14, 13, 11, 6, 21, 23, 4, 19, 11, 12, 16, 16, 10, 28, 24, 6, 21, 20, 25, 5, 17, 9. Complete this frequency table for the..
Draw a scatter diagram. Based on the scatter diagram, does there appear to be any relationship between the number assemblers and production? Explain.
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Perform a proper analysis. Describe your null and alternative hypothesis, report the p-value. What is your conclusion?
Illustrate what decision should be made depended on the mini-max regret criterion. Decision based on the Mini-max criterion.
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