a) Sampling 4 pieces of a gearbox assembly every hour for the past 24 hours has produced the following data, table 3a. Hour X 1 2 3 4 5 6 7 8 3.25 3.1 3.22 3.39 3.07 2.86 3.05 2.65 0.71 1.18 1.43 1.26 1.17 0.32 0.53 1.13 Hour X 9 10 11 12 13 14 15 16 3.02 2.85 2.83 2.97 3.11 2.83 3.12 2.84 Table 3a R 0.71 1.33 1.17 0.4 0.85 1.31 1.06 0.5 Hour X 17 18 19 20 21 22 23 24 i. Using this data, find the UCL and LCL for the data ii. Plot the X-bar and R-charts. 2.86 2.74 3.41 2.89 2.65 3.28 2.94 2.64 R 1.43 1.29 1.61 1.09 1.08 0.46 1.58 0.97 iii. Explain and justify whether the quality control process is adequate. iv. What other remedies could the quality control department implement?
a) Sampling 4 pieces of a gearbox assembly every hour for the past 24 hours has produced the following data, table 3a. Hour X 1 2 3 4 5 6 7 8 3.25 3.1 3.22 3.39 3.07 2.86 3.05 2.65 0.71 1.18 1.43 1.26 1.17 0.32 0.53 1.13 Hour X 9 10 11 12 13 14 15 16 3.02 2.85 2.83 2.97 3.11 2.83 3.12 2.84 Table 3a R 0.71 1.33 1.17 0.4 0.85 1.31 1.06 0.5 Hour X 17 18 19 20 21 22 23 24 i. Using this data, find the UCL and LCL for the data ii. Plot the X-bar and R-charts. 2.86 2.74 3.41 2.89 2.65 3.28 2.94 2.64 R 1.43 1.29 1.61 1.09 1.08 0.46 1.58 0.97 iii. Explain and justify whether the quality control process is adequate. iv. What other remedies could the quality control department implement?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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Transcribed Image Text:a) Sampling 4 pieces of a gearbox assembly every hour for the past 24 hours has
produced the following data, table 3a.
Hour X
12345
1
6
7
8
3.25
3.1
3.22
3.39
3.07
2.86
3.05
2.65
R
Hour X
0.71
9
1.18
10
1.43
11
1.26
12
1.17
13
0.32
14
0.53
15
1.13 16
R
3.02 0.71
2.85
2.83
2.97
0.4
3.11
0.85
2.83
1.31
3.12 1.06
2.84
0.5
Table 3a
1.33
1.17
Hour X
17
18
19
20
21
22
23
24
i. Using this data, find the UCL and LCL for the data
ii. Plot the X-bar and R-charts.
2.86
2.74
3.41
2.89
2.65
3.28
2.94
2.64
R
1.43
1.29
1.61
1.09
1.08
0.46
1.58
0.97
iii. Explain and justify whether the quality control process is adequate.
iv. What other remedies could the quality control department implement?
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