Instructions For each question, select the BEST answer and click on the corresponding radio button for your answer next to the appropriate answer choice for that question. There are 25 questions; each question is worth four points. Description Variable Control Chart Constants Sample Size N X-bar Chart R Chart D3 A2 24 D4 2 1.880 0 3.267 3 1.023 0 2.574 4 0.729 0 2.282 5 0.577 0 2.114 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 " " 12 0.266 0.283 1.717 14 0.235 0.328 1.672 16 0.212 0.363 1.637 0.194 0.391 1.608 0.180 0.415 1.585 22 0.167 0.434 1.566 24 0.157 0.451 1.548 The management of the Diners Delight franchised restaurant chain is in the process of establishing quality-control charts for the time that its service people give to each customer. Management thinks that the length of time that each customer is given should remain within certain limits to enhance service quality. A sample of four service people was selected and the customer service they provided was observed three times. The activities that the service people performed were identified and the time to service one customer was recorded as noted below: Service Time (in seconds) Service Person Sample 1 Sample 2 Sample 3 1 120 90 150 2 130 110 140 3 200 180 175 4 165 155 140 QUESTION 1 What are the upper and lower control limits for an X-bar chart with a sample size of four? a. UCL 146.25, LCL = 68.33 = CL 182.05, LCL 110.44 b. UCL= C. O d. UCL = 196.07, LCL = 96.43 UCL = 199.36, LCL = 97.31 e. none of the above QUESTION 2 What are the upper and lower control limits for an R-chart with a sample size of four? a. UCL = 90.09, LCL = 0 b. UCL 155.93, LCL = 0 = c. UCL 192.69, LCL = 0 = d. UCL = 199.36, LCL = 0 e. none of the above QUESTION 3 After the control chart was established, a new sample of customer service times in seconds was recorded: 185, 150, 192, and 178. Is the restaurant's customer service process in control? a. X-bar 176.25, R = 42; process is in control b.x-bar 176.25, R = 42; process is out of control = c. x-bar = 180, R = 50; process is in control e. *X-bar = 180, R = 50; process is out of control none of the above