A manager is in a tizzy and asks if you can construct an Individuals/Moving Range control chart for the data he provided, treating each data point as an independent measurement taken sequentially.
In addition, he wants an estimate of process capability for a specification of 74.000 ± 0.015 using this set of charts.
The control limits are:
Sample size | 5 | |
Number of samples | 20 | |
Mean | Range | |
Upper Control Limit, UCL | 74.01401 | 0.04725 |
Center | 74.00111 | 0.02235 |
Lower Control Limit, LCL | 73.98821 | 0.00000 |
The control charts are:
The process is in statistical control.
Process capability index = minimum((74.00111- 73.98821)/(3*0.001006) , (74.01401 - 74.0011)/(3*0.001006)) = 4.274
74.03 | 74.002 | 74.019 | 73.992 | 74.008 |
73.995 | 73.992 | 74.001 | 74.011 | 74.004 |
73.988 | 74.024 | 74.021 | 74.005 | 74.002 |
74.002 | 73.996 | 73.993 | 74.015 | 74.009 |
73.992 | 74.007 | 74.015 | 73.989 | 74.014 |
74.009 | 73.994 | 73.997 | 73.985 | 73.993 |
73.995 | 74.006 | 73.994 | 74 | 74.005 |
73.985 | 74.003 | 73.993 | 74.015 | 73.988 |
74.008 | 73.995 | 74.009 | 74.005 | 74.004 |
73.998 | 74 | 73.99 | 74.007 | 73.995 |
73.994 | 73.998 | 73.994 | 73.995 | 73.99 |
74.004 | 74 | 74.007 | 74 | 73.996 |
73.983 | 74.002 | 73.998 | 73.997 | 74.012 |
74.006 | 73.967 | 73.994 | 74 | 73.984 |
74.012 | 74.014 | 73.998 | 73.999 | 74.007 |
74 | 73.984 | 74.005 | 73.998 | 73.996 |
73.994 | 74.012 | 73.986 | 74.005 | 74.007 |
74.006 | 74.01 | 74.018 | 74.003 | 74 |
73.984 | 74.002 | 74.003 | 74.005 | 73.997 |
74 | 74.01 | 74.013 | 74.02 | 74.003 |
A manager is in a tizzy and asks if you can construct an Individuals/Moving Range control...
Construct an Xbar / S control chart and determine the process capability index of it for a specification of 74.000 ± 0.015. Rock Dept. Data Inside Diameter Measurements (mm) for Automobile Engine Piston Rings Sample Number 4 S 7 10 74.030 73.995 73.988 74.002 73.992 74.009 73.995 73.985 74.008 73.998 73.994 74.004 73.983 74.006 74.012 74.000 73.994 74.000 73.984 74.000 73.982 74.004 74.010 74.015 73.982 13 Observations 74.019 73.992 74.001 74.011 74.021 74.005 73.993 74.015 74.015 73.989 73.997 73.985 73.994...
How to determine the process capability index of an Xbar/s, Xbar/R and I/MR chart for a specification of 74.000 ± 0.015? Sample Number Set 1 Set 2 Set 3 Set 4 Set 5 Xi Si 1 74.030 74.002 74.019 73.992 74.008 74.010 0.0148 2 73.995 73.992 74.001 74.011 74.004 74.001 0.0075 3 73.988 74.024 74.021 74.005 74.002 74.008 0.0147 4 74.002 73.996 73.993 74.015 74.009 74.003 0.0091 5 73.992 74.007 74.015 73.989 74.014 74.003 0.0122 6 74.009 73.994 73.997 73.985...
exchange rates = {'0.0045': 3, '0.0160': 2, '-0.0028': 6, '-0.0157': 1, '-0.0443': 1, '-0.0232': 1, '-0.0065': 9, '-0.0080': 12, '0.0052': 1, '-0.0052': 3, '-0.0283': 1, '-0.0087': 1, '-0.0020': 9, '-0.0290': 2, '0.0180': 3, '0.0030': 15, '-0.0170': 2, '0.0000': 63, '-0.0185': 3, '-0.0055': 5, '0.0148': 1, '-0.0053': 1, '0.0265': 1, '0.0010': 22, '-0.0015': 5, '0.0137': 1, '-0.0137': 2, '-0.0023': 2, '0.0008': 10, '0.0055': 6, '-0.0025': 6, '-0.0125': 2, '0.0040': 14, '0.0260': 1, '0.0070': 8, '0.0210': 1, '-0.0070': 8, '0.0395': 1, '-0.0040':...
(20) TRUE or FALSE: Correlation is a dimensionless quantity with the strict range 0 SPs. 0.00 0.01 0.02 0.03 0.04 0,05 0.06 0.07 0.08 0.09 -0.0 0.500) 0.490) 0.4920 04880- 0.4840-0.4801-0.4761-0.472-0.4681-0.4641- -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.5 0.3085 0.3050 0.3015 0.2981...
VI HW Score: 23.53%, 4 of 17 pts 25.3.9 Question Help se the standard normal table to find the 2-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is hallway between two entries, use the score halay between the corresponding 2-cores. If convenient, use technology to find the score P20 Click to view page 1 of the title Click to view. 2 of the...
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