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A corporation manufactures car batteries in batches of 1000 and the numbers of defects are listed below for each of 12 consecutive batches. Use the given process data to construct a control chart for p. Use the three out-of-control criteria and determine whether the process is within statistical control. 15 15 16 10 13 7 15 12 19 7 8 17

A corporation manufactures car batteries in batches of 1000 and the numbers of defects are listed below for each of 12 consecutive batches. Use the given process data to construct a control chart for p. Use the three out-of-control criteria and determine whether the process is within statistical control. 15 15 16 10 13 7 15 12 19 7 8 17

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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A corporation manufactures car batteries in batches of 1000, and the numbers of defects are listed below for each of 12 consecutive batches. Use the given process data to construct a control chart for p. Use the three out-of-control criteria and determine whether the process is within statistical control. Defects in Batches: 15, 15, 16, 10, 13, 7, 15, 12, 19, 7, 8, 17 ### Choose the Correct Control Chart: - **Control Chart Options:** - **A:** - Graph showing control limits with a blue line representing data points and a red centerline. - Y-axis ranging from 0.005 to 0.025. - Points scattered without a clear trend. - **B:** - Similar structure to Chart A but with different placement of data points. - **C:** - Similar structure with data points closer to the centerline. - **D:** - Similar structure with a distinct pattern among data points. ### Using the Three Out-of-Control Criteria, is the Statistical Process Within Control? - **Options:** - **A.** No, because there is a pattern, trend, or cycle that is obviously not random. - **B.** No, because there is at least one point lying outside of the region between the upper and lower control limits. - **C.** Yes, because none of the criteria are satisfied. - **D.** No, because there are eight consecutive points all above or all below the centerline.
Transcribed Image Text:A corporation manufactures car batteries in batches of 1000, and the numbers of defects are listed below for each of 12 consecutive batches. Use the given process data to construct a control chart for p. Use the three out-of-control criteria and determine whether the process is within statistical control. Defects in Batches: 15, 15, 16, 10, 13, 7, 15, 12, 19, 7, 8, 17 ### Choose the Correct Control Chart: - **Control Chart Options:** - **A:** - Graph showing control limits with a blue line representing data points and a red centerline. - Y-axis ranging from 0.005 to 0.025. - Points scattered without a clear trend. - **B:** - Similar structure to Chart A but with different placement of data points. - **C:** - Similar structure with data points closer to the centerline. - **D:** - Similar structure with a distinct pattern among data points. ### Using the Three Out-of-Control Criteria, is the Statistical Process Within Control? - **Options:** - **A.** No, because there is a pattern, trend, or cycle that is obviously not random. - **B.** No, because there is at least one point lying outside of the region between the upper and lower control limits. - **C.** Yes, because none of the criteria are satisfied. - **D.** No, because there are eight consecutive points all above or all below the centerline.
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