To determine if their 1.001.00 centimeter washers are properly adjusted, Reeves Inc. has decided to use an x‾x‾-Chart which uses the range to estimate the variability in the sample. Average Value = 1.010 Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.09,1.09,1.05,1.06,1.021.09,1.09,1.05,1.06,1.02 Sample Mean: 1.0621.062 Step 5 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.03,1.08,1.06,1.01,1.091.03,1.08,1.06,1.01,1.09 Sample Mean: 1.0541.054 Step 6 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.02,0.98,0.97,1.02,0.981.02,0.98,0.97,1.02,0.98 Sample Mean: 0.9940.994 Step 7 of 7: Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places. Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1 1.01 1.00 0.98 0.98 1.03 1.0000 0.05 2 0.97 0.99 0.95 0.96 1.03 0.9800 0.08 3 1.03 0.98 1.02 1.03 1.01 1.0140 0.05 4 0.97 0.98 1.04 1.02 0.96 0.9940 0.08 5 1.05 1.00 0.98 0.96 1.02 1.0020 0.09 6 1.05 1.01 1.01 0.99 0.99 1.0100 0.06 7 1.04 0.98 1.02 1.00 0.97 1.0020 0.07 8 1.05 0.97 1.03 0.96 0.96 0.9940 0.09 9 0.96 0.99 1.05 0.97 1.05 1.0040 0.09 10 0.95 0.99 1.03 1.02 1.03 1.0040 0.08 11 1.05 0.98 1.02 1.01 1.01 1.0140 0.07 12 1.05 1.02 0.99 0.99 0.99 1.0080 0.06 13 0.96 0.97 0.99 1.00 0.98 0.9800 0.04 14 0.98 1.05 1.01 1.05 1.01 1.0200 0.07 15 1.02 1.01 0.98 1.04 1.01 1.0120 0.06 16 1.04 1.04 1.01 1.00 1.02 1.0220 0.04 17 0.96 1.04 1.02 1.01 1.01 1.0080 0.08 18 1.01 1.02 1.00 1.03 1.02 1.0160 0.03 19 1.02 1.02 1.02 1.00 1.01 1.0140 0.02 20 1.04 1.00 1.03 1.02 0.99 1.0160 0.05
To determine if their 1.001.00 centimeter washers are properly adjusted, Reeves Inc. has decided to use an x‾x‾-Chart which uses the
Step 1 of 7:
What is the Center Line of the control chart? Round your answer to three decimal places.
What is the Upper Control Limit? Round your answer to three decimal places.
What is the Lower Control Limit? Round your answer to three decimal places.
Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.09,1.09,1.05,1.06,1.021.09,1.09,1.05,1.06,1.02
Sample Mean: 1.0621.062
Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.03,1.08,1.06,1.01,1.091.03,1.08,1.06,1.01,1.09
Sample Mean: 1.0541.054
Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.02,0.98,0.97,1.02,0.981.02,0.98,0.97,1.02,0.98
Sample Mean: 0.9940.994
Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.
Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range
1 1.01 1.00 0.98 0.98 1.03 1.0000 0.05
2 0.97 0.99 0.95 0.96 1.03 0.9800 0.08
3 1.03 0.98 1.02 1.03 1.01 1.0140 0.05
4 0.97 0.98 1.04 1.02 0.96 0.9940 0.08
5 1.05 1.00 0.98 0.96 1.02 1.0020 0.09
6 1.05 1.01 1.01 0.99 0.99 1.0100 0.06
7 1.04 0.98 1.02 1.00 0.97 1.0020 0.07
8 1.05 0.97 1.03 0.96 0.96 0.9940 0.09
9 0.96 0.99 1.05 0.97 1.05 1.0040 0.09
10 0.95 0.99 1.03 1.02 1.03 1.0040 0.08
11 1.05 0.98 1.02 1.01 1.01 1.0140 0.07
12 1.05 1.02 0.99 0.99 0.99 1.0080 0.06
13 0.96 0.97 0.99 1.00 0.98 0.9800 0.04
14 0.98 1.05 1.01 1.05 1.01 1.0200 0.07
15 1.02 1.01 0.98 1.04 1.01 1.0120 0.06
16 1.04 1.04 1.01 1.00 1.02 1.0220 0.04
17 0.96 1.04 1.02 1.01 1.01 1.0080 0.08
18 1.01 1.02 1.00 1.03 1.02 1.0160 0.03
19 1.02 1.02 1.02 1.00 1.01 1.0140 0.02
20 1.04 1.00 1.03 1.02 0.99 1.0160 0.05
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