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Arconic Inc is a producer of aluminum components for the avionics and automotive industries. At its Davenport Works plant, an engineer has conducted a quality control test in which aluminum coils produced in each of the three shifts were inspected. The study was designed to determine whether the population proportion of good parts was the same for all three shifts. Sample data follow.

Arconic Inc is a producer of aluminum components for the avionics and automotive industries. At its Davenport Works plant, an engineer has conducted a quality control test in which aluminum coils produced in each of the three shifts were inspected. The study was designed to determine whether the population proportion of good parts was the same for all three shifts. Sample data follow.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Arconic Inc is a producer of aluminum components for the avionics and automotive industries. At its Davenport Works plant, an engineer has conducted a quality control test in which aluminum coils produced in each of the three shifts were inspected. The study was designed to determine whether the population proportion of good parts was the same for all three shifts. Sample data follow.

Arconic Inc is a producer of aluminum components for the avionics and automotive industries. At its Davenport Works plant, an engineer has conducted a quality control test in which aluminum coils produced in each of the three shifts were inspected. The study was designed to determine whether the population proportion of good parts was the same for all three shifts. Sample data follow. Excel File: data12-32.xlsx Production Shift Quality First Second Third Good 285 368 176 Defective 15 32 24 a. Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. Ho: All population proportions are equal Ha: Not all population proportions are equal v What is the p-value? Use Table 3 of Appendix B. The p-value is between 0.01 and 0.025 v What is your conclusion? Conclude the population proportion of good parts is not equal for all three shifts. b. If the conclusion is that the population proportions are not all the same, use a multiple comparison procedure to determine how the shifts differ in terms of quality? Round Pi, pj and their absolute differences to two decimal places. Round critical value to four decimal places. Absolute Critical Significant if Absolute Comparison pi Pj Difference Value Diff > CVij ni nj 1 vs. 2 Select your answer 1 vs. 3 Select your answer 2 vs. 3 Select your answer What shift needs to improve the quality of parts produced? - Select your answer - Because it has - Select your answer - quality than the other two shifts.
Transcribed Image Text:Arconic Inc is a producer of aluminum components for the avionics and automotive industries. At its Davenport Works plant, an engineer has conducted a quality control test in which aluminum coils produced in each of the three shifts were inspected. The study was designed to determine whether the population proportion of good parts was the same for all three shifts. Sample data follow. Excel File: data12-32.xlsx Production Shift Quality First Second Third Good 285 368 176 Defective 15 32 24 a. Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. Ho: All population proportions are equal Ha: Not all population proportions are equal v What is the p-value? Use Table 3 of Appendix B. The p-value is between 0.01 and 0.025 v What is your conclusion? Conclude the population proportion of good parts is not equal for all three shifts. b. If the conclusion is that the population proportions are not all the same, use a multiple comparison procedure to determine how the shifts differ in terms of quality? Round Pi, pj and their absolute differences to two decimal places. Round critical value to four decimal places. Absolute Critical Significant if Absolute Comparison pi Pj Difference Value Diff > CVij ni nj 1 vs. 2 Select your answer 1 vs. 3 Select your answer 2 vs. 3 Select your answer What shift needs to improve the quality of parts produced? - Select your answer - Because it has - Select your answer - quality than the other two shifts.
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