(Solved): find both UCLR and LCLR Reler to pablo. Sio. - Factons for Computing Contro Chart Limits (3 sigma) f ...

Reler to pablo. Sio. - Factons for Computing Contro Chart Limits (3 sigma) for this problers. Eaglatrons are ail-electic automobiles produced by Mogul Motors, Inc. One of the cencurns of Mogul Motors is that the Eaglotrons ber capahie of achisning ageropratin maximum speed5. To monitor this. Mogal executwos take samples of eight Eaglotrons at a time For each sample, they deterrine the average maximam speod and the range of the maxmum speeds within the sample. They repeat this with 35 samples to oblain 35 sample means and 35 ranges. They find that the average sanyle mean is \( 93.50 \) miles per hour, ara the awinage range is \( 3.50 \) miles per hour. Using these results, the ewecutives decide to establish an Ruchart. They would like this chart to be established so that aften if ahose that the range of a sample is not within the control limits, there is coly approximately a 0 . 0027 probabilify that this is due to natiral sanation. The control limits for the chart hased on the above requirement for the given irformation are: UCL \( { }_{F}= \) miles per hour (round the reponse to thrse decinal places).