The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle.
Sample |
x |
R |
---|---|---|
1 | 95.72 | 1.0 |
2 | 95.24 | 0.9 |
3 | 95.18 | 0.7 |
4 | 95.42 | 0.4 |
5 | 95.46 | 0.5 |
6 | 95.32 | 1.1 |
7 | 95.40 | 0.9 |
8 | 95.44 | 0.3 |
9 | 95.08 | 0.2 |
10 | 95.50 | 0.6 |
11 | 95.80 | 0.6 |
12 | 95.22 | 0.2 |
13 | 95.58 | 1.3 |
14 | 95.22 | 0.6 |
15 | 95.04 | 0.8 |
16 | 95.72 | 1.1 |
17 | 94.82 | 0.6 |
18 | 95.46 | 0.5 |
19 | 95.60 | 0.4 |
20 | 95.74 | 0.6 |
A)The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)
UCL = ____
LCL = ____
B)Construct the R chart.
C) Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.)
UCL = ____
LCL = ____
D) Construct the x chart.
E)
What conclusions can be made about the quality of the process?
The R chart indicates that the process variability is (in control/out of control). (no/one/two/more then two) samples fall outside the R chart control limits. The x chart indicates that the process mean is (in control/out of control). (no/one/two/more then two) samples fall outside the x chart control limits.
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