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Question
Choose the correct alternative:
The upper control limit for `bar"X"` chart is given by
Options
`bar"X" + "A"_2bar"R"`
`\overset{==}{"X"} + "A"_2 "R"`
`\overset{==}{"X"} + "A"_2 bar"R"`
`\overset{==}{"X"} + "A"_2 overset{==}{"R"}`
Solution
`\overset{==}{"X"} + "A"_2 bar"R"`
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| Sample Number | Observations | ||
| 1 | 32 | 36 | 42 |
| 2 | 28 | 32 | 40 |
| 3 | 39 | 52 | 28 |
| 4 | 50 | 42 | 31 |
| 5 | 42 | 45 | 34 |
| 6 | 50 | 29 | 21 |
| 7 | 44 | 52 | 35 |
| 8 | 22 | 35 | 44 |
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The following are the sample means and I ranges for 10 samples, each of size 5. Calculate; the control limits for the mean chart and range chart and state whether the process is in control or not.
| Sample Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Mean | 5.10 | 4.98 | 5.02 | 4.96 | 4.96 | 5.04 | 4.94 | 4.92 | 4.92 | 4.98 |
| Range | 0.3 | 0.4 | 0.2 | 0.4 | 0.1 | 0.1 | 0.8 | 0.5 | 0.3 | 0.5 |
