1- [4 Points) The time to make beds at a motel should fall into an agreed-on range of times. A sample of four maids was selected, and the time needed to make a bed was observed on three different occasions Maid Ann Linda Marie Michael Sample 1 120 130 200 165 Service time, sec. Sample 2 90 110 180 155 Sample 3 150 140 175 140 a. [3 Points] Determine the upper and lower control limits for an X bar chart and an R chart with a sample size of four. b. [1 Point] After the control chart was established, a sample of four observations had the following times in seconds: 185, 150, 192, and 178. Is corrective action needed? Follow these steps to answer a. and b. above: a(i): Calculate X and R Maid Ann Linda Marie Michael X R Sample 1 120 130 200 165 Service time, sec. Sample 2 90 110 180 155 Sample 3 150 140 175 140 a(ii): Calculate X and R X = R= a(iii). Calculate the control limits for Mean UCL = 7 + Az = LCL = X - A R=