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Business, 04.11.2021 21:10 oliviaberta91

The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Use Exhibit 10.13. OBSERVATIONS
SAMPLE NUMBER12345
10.4820.4960.4900.5140.474
20.4810.4970.5120.4870.516
30.5030.4950.5070.4810.528
40.5020.4970.4780.4790.495
50.4790.5010.5180.4540.485
60.4790.4970.4980.4980.502
70.5020.5120.4910.4740.501
80.5240.5320.4910.4750.486
90.5050.5260.5040.5010.504
100.5040.5090.5120.5140.488
110.5030.4780.4530.4970.483
120.4780.4660.5280.5010.518
130.5160.5120.4980.5170.501
140.4940.5170.4980.4980.507
150.5010.5120.4860.5140.511
160.4780.4970.4870.4720.528
170.4860.4810.5050.4700.487
180.5030.4900.4980.4810.487
190.5130.5340.4790.4880.496
200.5070.4910.4880.5010.512
a. Calculate the mean and range for the above samples. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
Sample
NumberMeanRange
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
b. Determine X=X= and Rโˆ’Rโˆ’. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
X=X=
Rโˆ’Rโˆ’
c. Determine the UCL and LCL for a -chart. (Do not round intermediate calculations. Round your answers to 3 decimal places.)
UCL
LCL
d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places.)
UCL
LCL
What comments can you make about the process?
The process is in statistical control.
The process is out of statistical control.

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