PROBLEM 4: The data on the sample means and ranges for several samples collected in a quality study are given in the Table below. The size of each sample is 7. Calculate UCL and LCL for X-bar and R. Answer the following questions, (2) (3) (4) (5) (6) (7) (8) (9) Sample Sample Sample Sample Sample Sample Sample Sample Sample Number Mean Range Number Mean Range Number Mean Range 452 38 10 449 37 19 454 46 2 448 41 431 48 20 461 38 3 453 37 12 43 35 21 425 46 4 465 35 13 463 44 22 461 36 5 437 48 14 446 48 73 448 48 6 432 36 15 439 37 24 457 49 7 435 38 16 444 39 25 427 46 8 425 45 17 455 41 26 421 44 9 431 42 18 461 47 27 452 43 Subtotal Subtotal Subtotal (18) What is the value of the Factor Az? (Hint: Read the value from the chart) (a) 0.58 (b) 1.02(e) 0.73 (d) 0.42 (19) What is the value of the Factor D;? (Hint: Read the value from the chart) (a) 0.08 (b) 0.00 (c) 0.03 (d) 0.04 (20) What is the value of X ? (a) 536.18 (b) 618.43 (c) 519.82 (d) 444.70 (21) What is the value of R? (a) 41.93 (b) 56.28 (c) 61.37 (d) 33.98 (22 What is the value of UCL(X)? (a) 398.29 (b) 623.42 (c) 462.31 (d) 568.69 (23 What is the value of LCLX)? (a) 564.73 (b) 427.09 (c) 317.29 (d) 375.94 (24) What is the value of UCL(R)? (a) 64.90 (b) 73.44 (c) 96.83 (d) 80.50 (25) What is the value of LCL(R)? (a) 3.35 (b) 5.16 (e) 0.00 (d) 1.28