Stampworks Hypothesis Testing

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WFU Student Individual Assignment #2 Quantitative Methods I Wake Forest University Charlotte Saturday MBA Program March 3, 2012 Executive Summary The Stampworks gear shift stamping division recently analyzed a random sampling of gear shifts produced after two separate manufacturing processes to pinpoint if the company is meeting production targets. After reviewing the original stamping process, results indicate that on average, the shift lengths are slightly exceeding set targets; however, process improvements are recommended to minimize impacts to customer satisfaction. The increase in the frequency of cleaning the stamping tools resulted in a more consistent product quality, albeit also demonstrating further deviation from the target mean of 30 centimeters. | Process 1 | Process 2 | Sample Mean (x) | 30.05 cm. | 30.10 cm. | Sample Standard Deviation (s) | 0.98 cm. | 0.52 cm. | Observations (n) | 100 | 100 | Confidence Interval (α) | 0.05 | 0.05 | Critical Value (+/-) | ± 1.98 | ± 1.98 | Test Statistic (t) | 0.47 | 1.90 | P-value | 0.6411 | 0.0604 | Both processes are statistically adequate in meeting our business objectives; however implementation of Process #2 will decrease variation in production and streamline consistency within our product. The formal recommendation is to suspend Process #1 and implement Process #2 going forward with minor adjustments added to more precisely match current production targets. Introduction Toledo Stampworks is a manufacturing company which creates parts, such as gear shifters, for use in the automotive industry. Ford Motor Company is a major purchaser of Stampworks’ gear shifts. Ford has conducted customer focus groups and determined that if the gear shift is not exactly 30 centimeters in length, then it causes issues for the end consumer and diminishes overall customer satisfaction. It is

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