Please show the steps you used to get to answer, added solution so you can check your work, will rate any answer. Need to know how to get A2, D4, D3.

PROCESS CONTROL AND CAPABILITY Gas Mileage Problem - Process Control The miles per gallon rating of a particular gasoline was measured over a five-day period. Each day, 4 trials were conducted using the same vehicle to yield the following results: Trials Day 1 2 3 4 5 1 33.2 29.4 36.5 38.1 30.0 2 29.1 32.2 29.5 36.0 31.5 3 34.5 33.6 27.4 30.4 4 32.6 30.4 31.8 29.8 34.6 X-Bar 32.350 31.400 31.300 33.575 31.125 R 5.4 4.2 9.1 8.3 6.2 28.4 (1) Compute the control limits for the X-Bar and R Charts using the above data. (2) Is the process in control? Why or why not? PROCESS CONTROL AND CAPABILITY Gas Mileage Process Control Problem - Solution (1) UCLX-bar = XD-bar + A Rbar LCLX-Bar = XD-Bar - AzRbar UCLR = D4Rbar LCLR = D3Rbar N= 5 n=4 Il 159.75 31.95 XD-bar = Xbar N 5 Rbar R 33.2 6.64 N 5 A2 (Table) = 0.729 D4(Table) = 2.282 D3(Table) = 0 UCLX-bar = {(31.95)+((.729) x (6.64)]} = 31.95 + 4.84 = 36.79 LCLX-bar = {(31.95)- [(.729) x (6.64)]} = 31.95 - 4.84 = 27.11 UCLr = (2.282) x (6.64) = 15.15 LCLR = (0) x (6.64) (2) Process is in statistical control because there are no points outside of the control limits on either chart