Question

Problem description:

You are a line manager in Superior Car Part’s Ellisville manufacturing facility. The company produces automotive parts, and you have responsibility for the line producing steel shafts for the gearbox manufactured in the Ellisville Plant. The acceptable dimension of the shaft is 2.5±0.05 inches in diameter with the most desirable product having a diameter of exactly 2.5 inches. The current equipment is approaching the end of its useful life and needs to be replaced. Two vendors are trying to sell your company, Superior Car Parts Incorporated, their machines for the shaft-machining task. You have been asked to assess the machines from each vendor, and to make a recommendation for a machine vendor supported by a justification for your decision.

You asked both vendors to supply data on the machining accuracy of their machines for the given task. Both vendors machined 100 shafts, collected data, plotted histograms, fitted the histograms with normal distributions and supplied you with their findings.

Let X= diameter in inches of the gearbox shaft

Abano Machines Inc.: X has a normal distribution with a mean of 2.49 and a standard deviation of 0.030

Li Equipment Corp.: X has a normal distribution with a mean of 2.53 and a standard deviation of 0.015

When you are completing your memorandum be sure to address the following:

1. Recommend a vendor using the given information, develop and discuss your approach (give all details including quantitative justification). Your response to this question must be directed to the audience described below.

2. Examine the scenario as described and discuss what additional information would be helpful to make this recommendation a stronger selection, why that information would be useful. Be careful not to negate your recommendation as you explain this.

3. Include your calculations as a titled addendum on its own page at the end pf the document.

Answer 1