Sample Number Table 7E.11 Data for Exercise 7.39 Number of Nonconformities Sample Number of Number Nonconformities 1 1 9 2 2 3 10 1 10215 34567∞ 8 2 11 0 12 13 14 15 16 21123 CL = ū = = Σu¡ /m = Σxi/n) /m Ui UCL = ū+3√ū/n LCL = ū - 3√√ū/n

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An automobile manufacturer wishes to monitor the number of nonconformities in a subassembly area producing manual transmissions. The inspection unit is defined as four transmissions, and data from 16 samples (each of size 4) are shown in Table 7E.11. a. Set up a control chart for nonconformities per unit. A u chart of average number of nonconformities per unit is appropriate, with n = 4 transmissions in each inspection. b. Do these data come from a controlled process? If not, assume that assignable causes can be found for all out-of-control points and calculate the revised control chart parameters. Draw x-bar control chart and R chart c. Suppose the inspection unit is redefined as eight transmissions. Design an appropriate control chart for monitoring future production

Sample
Number
Table 7E.11 Data for Exercise 7.39
Number of
Nonconformities
Sample
Number of
Number
Nonconformities
1
1
9
2
2
3
10
1
10215
34567∞
8
2
11
0
12
13
14
15
16
21123
Transcribed Image Text:Sample Number Table 7E.11 Data for Exercise 7.39 Number of Nonconformities Sample Number of Number Nonconformities 1 1 9 2 2 3 10 1 10215 34567∞ 8 2 11 0 12 13 14 15 16 21123
CL = ū = = Σu¡ /m = Σxi/n) /m
Ui
UCL = ū+3√ū/n
LCL = ū - 3√√ū/n
Transcribed Image Text:CL = ū = = Σu¡ /m = Σxi/n) /m Ui UCL = ū+3√ū/n LCL = ū - 3√√ū/n
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