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? 20 23 18 16 20 15 16 12 15 14 12 12 13 11 11 9 9 10 7 7 0 a. Choose the correct control chart. O A. O B. Proportion 0.06 Www 0.00+ 20 Q Proportion 0.06 0.00+ 0 Sample DI Q O C. Proportion 0.06 forstopphe 0.00+ DI Q 5 D. Proportion 0.060 0.000+ Sample 20 Sample 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. Yes, because all of the criteria are satisfied. OC. Yes, because none of the criteria are satisfied. O D. No, because there is at least one point lying outside of the region between the upper and lower control limits. c. Choose the correct answer below. O A. The manufacturer should proceed as before, because the number of defects is increasing. OB. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing proportions of defects. D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Question
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?
20 23 18 16 20 15
a. Choose the correct control chart.
O A.
O B.
Proportion
0.06-
Миламан
0.00-
0
UCL
16 12
Proportion
0.06+
0.00+
15
14 12 12 13 11 11 9 9 10 7 7 9
UCL
20
O C.
Proportion
0.06
Suptopges
0.00+
UCL
20
JA
Q
D.
Proportion
0.060
0.000
0
Sample
UCL
Sample
Sample
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.
B. Yes, because all of the criteria are satisfied.
C. Yes, because none of the criteria are satisfied.
O D. No, because there is at least one point lying outside of the region between the upper and lower control limits.
c. Choose the correct answer below.
O A. The manufacturer should proceed as before, because the number of defects is increasing.
B. The manufacturer should review their production process and attempt to remedy the cause of increasing
variation in the proportions of defects.
OC. The manufacturer should review their production process and attempt to remedy the cause of increasing
proportions of defects.
D. The manufacturer should proceed as before, because the number of defects is decreasing and the
production process appears to be improving.
Q
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? 20 23 18 16 20 15 a. Choose the correct control chart. O A. O B. Proportion 0.06- Миламан 0.00- 0 UCL 16 12 Proportion 0.06+ 0.00+ 15 14 12 12 13 11 11 9 9 10 7 7 9 UCL 20 O C. Proportion 0.06 Suptopges 0.00+ UCL 20 JA Q D. Proportion 0.060 0.000 0 Sample UCL Sample Sample 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. B. Yes, because all of the criteria are satisfied. C. Yes, because none of the criteria are satisfied. O D. No, because there is at least one point lying outside of the region between the upper and lower control limits. c. Choose the correct answer below. O A. The manufacturer should proceed as before, because the number of defects is increasing. B. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing proportions of defects. D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. Q
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