A company manufactures batteries for smart phones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. 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? 12 10 13 15 a. Choose the correct control chart. O A. Proportion 0.12 fro 0.00- Sample TUCL 10 15 O B. Proportion 0.12- 11 11 c. Choose the correct answer below. Im Sample 15 16 ... Q 7 10 15 7 17 5 19 C. Proportion 0.12 fro O Sample TUCL b. Using the three out-of-control criteria, is the statistical process within control? LCL 15 D. Proportion 0.12- 0.00- 1 Sample L UCL 15 OA. No, because there are eight or more consecutive points all above or all below the centerline. 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. OD. No, because there is a pattern, trend, or cycle that is obviously not random. O D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. OA. 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 proportions of defects. OC. The manufacturer should review their production process and attempt to remedy the cause of increasing variation in the proportions of defects.

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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#27
A company manufactures batteries for smart phones. Listed below are numbers of defects in batches of 200 randomly
selected in each of 15 consecutive days of production.
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?
12
10 13 15
a. Choose the correct control chart.
O A.
Proportion
0.12
0.00-
1
TUCL
ww
Sample
10
15
B.
Proportion
0.12-
11
11
m
Sample
15
16
...
Q
7 10 15 7
O C.
Proportion
0.12
O
Sample
UCL
15
b. Using the three out-of-control criteria, is the statistical process within control?
Q
17 5 19
Proportion
D.
0.12
www
0.00-
1
Sample
n
TUCL
Q
15
A. No, because there are eight or more consecutive points all above or all below the centerline.
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 is a pattern, trend, or cycle that is obviously not random.
c. Choose the correct answer below.
D. The manufacturer should proceed as before, because the number of defects is decreasing and the
production process appears to be improving.
OA. 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
proportions of defects.
OC. The manufacturer should review their production process and attempt to remedy the cause of increasing
variation in the proportions of defects.
Transcribed Image Text:A company manufactures batteries for smart phones. Listed below are numbers of defects in batches of 200 randomly selected in each of 15 consecutive days of production. 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? 12 10 13 15 a. Choose the correct control chart. O A. Proportion 0.12 0.00- 1 TUCL ww Sample 10 15 B. Proportion 0.12- 11 11 m Sample 15 16 ... Q 7 10 15 7 O C. Proportion 0.12 O Sample UCL 15 b. Using the three out-of-control criteria, is the statistical process within control? Q 17 5 19 Proportion D. 0.12 www 0.00- 1 Sample n TUCL Q 15 A. No, because there are eight or more consecutive points all above or all below the centerline. 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 is a pattern, trend, or cycle that is obviously not random. c. Choose the correct answer below. D. The manufacturer should proceed as before, because the number of defects is decreasing and the production process appears to be improving. OA. 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 proportions of defects. OC. 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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