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Fifteen Random Samples of Size Four Yield the Following Statistics:Sample Xˉ\bar { X }

Question 49

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Fifteen random samples of size four yield the following statistics:Sample Xˉ\bar { X } R Sample Xˉ\bar { X } R Sample Xˉ\bar { X } R
1331863334113326233357332131233573335883315133307433779334614330553369103329153346\begin{array} { c c c c c c c c c } 1 & 331 & 8 & 6 & 333 & 4 & 11 & 332 & 6 \\2 & 333 & 5 & 7 & 332 & 13 & 12 & 335 & 7 \\3 & 335 & 8 & 8 & 331 & 5 & 13 & 330 & 7 \\4 & 337 & 7 & 9 & 334 & 6 & 14 & 330 & 5 \\5 & 336 & 9 & 10 & 332 & 9 & 15 & 334 & 6\end{array}
For these data, determine the upper and lower control limits for the Xˉ\bar { X } and R charts.

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(The sample mean is 4995/15 = 333 and t...

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