Elementary Statistics
Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 14, Problem 1FDD

FROM DATA TO DECISION

Critical Thinking: Are the axial loads within statistical control? Is the process of manufacturing cans proceeding as it should?

Exercises 5–8 in Section 14-1 used process data from the manufacture of 0.0109-in.-thick aluminum cans. Refer to Data Set 30 “Aluminum Cans” in Appendix B and conduct an analysis of the process data for the cans that arc 0.0111 in. thick. The values in the data set are the measured axial loads of cans, and the top lids are pressed into place with pressures that vary between 158 lb and 165 lb. The 175 axial loads are in one column, the first 7 are from the first day. the next 7 are from the second day, and so on, so that the “subgroup size” is 7.

Analyzing the Results

Based on the given process data, should the company take any corrective action? Write a report summarizing your conclusions. Address not only the issue of statistical stability but also the ability of the cans to withstand the pressures applied when the top lids are pressed into place. Also compare the behavior of the 0.0111-in. cans to the behavior of the 0.0109-in. cans, and recommend which thickness should be used.

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