Eagletrons are all-electric automobiles produced by Mogul Motors, Inc. One of the concerns of Mogul Motors is that the Eagletrons be capable of achieving appropriate maximum speeds. To monitor this, Mogul executives take samples of eight Eagletrons at a time. For each sample, they determine the aver- age maximum speed and the range of the maximum speeds within the sample. They repeat this with 35 samples to obtain 35 sample means and 35 ranges. They find that the average sample mean is 88.50 miles per hour, and the average range is 3.25 miles per hour. Using these results, the executives decide to establish an R chart. They would like this chart to be established so that when it shows that the range of a sample is not within the control limits, there is only approximately a 0.0027 probability that this is due to natural variation. What will be the upper control limit (UCL) and the lower control limit (LCL) in this chart?
Eagletrons are all-electric automobiles produced by
Mogul Motors, Inc. One of the concerns of Mogul Motors is that
the Eagletrons be capable of achieving appropriate maximum
speeds. To monitor this, Mogul executives take samples of eight Eagletrons at a time. For each sample, they determine the aver-
age maximum speed and the range of the maximum speeds within the sample. They repeat this with 35 samples to obtain 35 sample
means and 35 ranges. They find that the average sample mean is
88.50 miles per hour, and the average range is 3.25 miles per hour.
Using these results, the executives decide to establish an R chart.
They would like this chart to be established so that when it shows
that the range of a sample is not within the control limits, there is
only approximately a 0.0027 probability that this is due to natural
variation. What will be the upper control limit (UCL) and the
lower control limit (LCL) in this chart?
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