Question: For each sample, they determine the average maximum speed and the range of the maximum speeds within the sample. They repeat this with 35 samples

For each sample, they determine the average 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 93.50 miles per hour, and the average range is 3.50 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. The control limits for the chart based on the above requirement for the given information are: LCL Subscript Upper R overbar = nothing miles per hour (round the reponse to three decimal places).?

Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284

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