spc problem – Custom Nursing Help
Excel file with the data for the three questions.
Piston rings for an automotive engine are produced by a forging process. We wish to establish statistical control of the inside diameter of the rings manufactured. Twenty-five samples, each of size five, have been taken to analyze the process. The inside diameter measurement data from theses samples are shown in the following table:
Fifteen additional samples from the piston ring manufacturing process were collected after the control charts were established. The data from theses new samples are shown in the following table:
You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each three meals, asking that they simply check-off that the meal was either satisfactory or unsatisfactory. The results are:
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Nº
1
2
3
4
5
Mean (X)
Range (R)
1
74.03
74.002
74.019
73.992
74.008
74.010
0.038
2
73.995
73.992
74.001
74.011
74.004
74.001
0.019
3
73.988
74.024
74.021
74.005
74.002
74.008
0.036
4
74.002
73.996
73.993
74.015
74.009
74.003
0.022
5
73.992
74.007
74.015
73.989
74.014
74.003
0.026
6
74.009
73.994
73.997
73.985
73.993
73.996
0.024
7
73.995
74.006
73.994
74.000
74.005
74.000
0.012
8
73.985
74.003
73.993
74.015
73.998
73.999
0.030
9
74.008
73.995
74.009
74.005
74.004
74.004
0.014
10
73.998
74.000
73.990
74.007
73.995
73.998
0.017
11
73.994
73.998
73.994
73.995
73.990
73.994
0.008
12
74.004
74.000
74.007
74.000
73.996
74.001
0.011
13
73.983
74.002
73.998
73.997
74.012
73.998
0.029
14
74.006
73.967
73.994
74.000
73.984
73.990
0.039
15
74.012
74.014
73.998
73.999
74.007
74.006
0.016
16
74.000
73.984
74.005
73.998
73.996
73.997
0.021
17
73.994
74.012
73.986
74.005
74.007
74.001
0.026
18
74.006
74.010
74.018
74.003
74.000
74.007
0.018
19
73.984
74.002
74.003
74.005
73.997
73.998
0.021
20
74.000
74.010
74.013
74.020
74.003
74.009
0.020
21
73.988
74.001
74.009
74.005
73.996
74.000
0.021
22
74.004
73.999
73.990
74.006
74.009
74.002
0.019
23
74.010
73.989
73.990
74.009
74.014
74.002
0.025
24
74.015
74.008
73.993
74.000
74.010
74.005
0.022
25
73.982
73.984
73.995
74.017
74.013
73.998
0.035
What is the value of and ?
Construct -charts and R-charts for this problem. Is the process in control?
Observations
Nº
1
2
3
4
5
Mean (X)
Range (R)
26
74.012
74.015
74.030
73.986
74.000
74.009
0.044
27
73.995
74.010
73.990
74.015
74.001
74.002
0.025
28
73.987
73.999
73.985
74.000
73.990
73.992
0.015
29
74.008
74.010
74.003
73.991
74.006
74.004
0.019
30
74.003
74.000
74.003
73.986
73.997
73.998
0.017
31
73.994
74.003
74.015
74.020
74.004
74.007
0.026
32
74.008
74.002
74.018
73.995
74.005
74.006
0.023
33
74.001
74.004
73.990
73.996
73.998
73.998
0.014
34
74.015
74.000
74.016
74.025
74.000
74.011
0.025
35
74.030
74.005
74.000
74.016
74.012
74.013
0.030
36
74.001
73.990
73.995
74.010
74.024
74.004
0.034
37
74.015
74.020
74.024
74.005
74.019
74.017
0.019
38
74.035
74.010
74.012
74.015
74.026
74.020
0.025
39
74.017
74.013
74.036
74.025
74.026
74.023
0.023
40
74.010
74.005
74.029
74.000
74.020
74.013
0.029
Is the process now in control? What conclusion can we make?
Day
Unsatisfactory meals
Sample size
1
74
1,000
2
39
1,100
3
64
1,050
4
86
1,000
5
35
1,078
6
50
950
7
65
1,141
8
70
988
9
67
750
10
75
1,010
Total
625
10,067
Construct a p-chart based on the questionnaire results.
What comments can you make about the results of the survey?
Note: in the attachment you will find an Excel file with the data for the three, please use the attachment for questions
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