In each of several consecutive days of production of cola cans, 500 cans are tested and the numbers of defects each day are listed below. a. Use the given process data to construct a control chart for p. b. Use the three out-of-control criteria and determine whether the process is within statistical control. c. What action should be taken? 19 23 19 17 19 16 17 14 14 13 12 12 13 12 11 9 9 11 7 7 g

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
#26 help please
In each of several consecutive days of production of cola cans, 500 cans are tested and the numbers of defects each
day are listed below.
a. Use the given process data to construct a control chart for p.
b. Use the three out-of-control criteria and determine whether the process is within statistical control.
c. What action should be taken?
19 23 19 17 19 16
a. Choose the correct control chart.
O A.
Proportion
0.06
0.00-
Sample
20
17 14
B.
Proportion
0.06+
0.00-
14 13 12 12 13 12 11 9
KAAR
c. Choose the correct answer below.
C.
Proportion
0.06
0.00-
Sample
9
D.
11
0.060
0.000-
0
7 7 D
Sample
b. Using the three out-of-control criteria, is the statistical process within control?
O A. No, because there is a pattern, trend, or cycle that is obviously not random and there are eight or more
consecutive points all above or all below the centerline.
OB. No, because there is at least one point lying outside of the region between the upper and lower control limits.
OC. Yes, because none of the criteria are satisfied.
D. Yes, because all of the criteria are satisfied.
Sample
O A. The manufacturer should proceed as before, because the number of defects is decreasing and the
production process appears to be improving.
OB. The manufacturer should proceed as before, because the number of defects is increasing.
OC. The manufacturer should review their production process and attempt to remedy the cause of increasing
proportions of defects.
OD. The manufacturer should review their production process and attempt to remedy the cause of increasing
variation in the proportions of defects.
Transcribed Image Text:In each of several consecutive days of production of cola cans, 500 cans are tested and the numbers of defects each day are listed below. a. Use the given process data to construct a control chart for p. b. Use the three out-of-control criteria and determine whether the process is within statistical control. c. What action should be taken? 19 23 19 17 19 16 a. Choose the correct control chart. O A. Proportion 0.06 0.00- Sample 20 17 14 B. Proportion 0.06+ 0.00- 14 13 12 12 13 12 11 9 KAAR c. Choose the correct answer below. C. Proportion 0.06 0.00- Sample 9 D. 11 0.060 0.000- 0 7 7 D Sample b. Using the three out-of-control criteria, is the statistical process within control? O A. No, because there is a pattern, trend, or cycle that is obviously not random and there are eight or more consecutive points all above or all below the centerline. OB. No, because there is at least one point lying outside of the region between the upper and lower control limits. OC. Yes, because none of the criteria are satisfied. D. Yes, because all of the criteria are satisfied. Sample O A. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. OB. The manufacturer should proceed as before, because the number of defects is increasing. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing proportions of defects. OD. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects.
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