Refer to Toble S6.1- Factons for Computing Control Chart Limits (3 sigma) for this problem Eagletrons are al-electre automobiles produced by Mogul Motors, Ine. One of the concerns of Mogul Motors is that the Eagletrons be capable of actieving appropriate maximum speeds. To monitor this, Mogul executives take samples of six Eagletrons at a bime. For each sample, they defermine the average maximum speed and the range of the muximum speeds wathin the sample. They repeat this with 35 samples to obtain 35 sample means and 35 ranges. They find that me average sample mean is as 50 miles per houk, and the average range is 3.00 miles per hour. Using these results, the executives decide fo establish an R-char. They would like this chart to be established so that when it shows that the range of a sample is not within the control limls, there is onfy 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- UCL H " miles per hour (round the roponse to three docima/ places). LCLR= miles per hour (round the roponse to three decimal places)