Question

Please answer this like right now

West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 40 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, West took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table: Sample Data Sample Data Hour Sample Taken R 2 Hour Sample Taken 14 1 43 2 47 3 30 4 41 5 35 R 17 15 46 50 | 22 6 40 16 17 52 31 40 28 32 38 24 48 45 38 28 20 DO VOU AWN 1 2 41 40 34 38 39 26 44 46 38 27 49 52 27 22 40 57 33 42 60 35 48 44 45 43 29 60 3 39 48 39 42 67 40 40 44 35 41 52 38 49 4 40 35 28 40 27 44 37 32 36 38 36 33 35 5 * 40 40.0 45 40.0 48 36.0 42 42.8 38 39.4 54 47.8 46 34.4 29 40.4 3335.8 30 40.8 25 41.0 51 42. 0 34 41.4 1946 43 20 49 41 21 43 36 ☆ 39.2 43.6 38.6 36.6 42.2 41.8 38.2 39.0 39.0 39. 2 40.2 43.0 24 28 9 30 27 18 31 32 38 45 41 30 49 40 41 39 29 35 39 19 20 15 23 38 37 4 11 12 13 2. 11 25 42 40 41 41 51

Answer 1

Me.com as Fore the given date, the X= 40.096 ) houres (Average (Sum(x) ) ) For the given data, mean reangef= [18.040 hours (Avenage (sum (R ) with Z=3 the control limits for the mean chant are UCL x = 58.497 moures (X + A2x Rmean) LCLx = 121.695 hours (x – A2 x Rmean) . From the table of control charts Sample size of n=3. A2 = 1.02 D3 = 0 DA= 2.57 The control limits for the range chart Con the range chart are UCLA = 46.363) (Rmeur X DA) LCLR = 0 (Rmean & B

Sample 1 2 3 4 5 X R. N taken & 26 38 43 29 46 51 141.4 122] 27 35 42 38 37 56 14 1.6 121 52 39 39 35 44 41.8 117 29 47 60 36 42 51 47.2 124 30 35 29 36 43 43 37.2] [14] M I Do the that the samples fore hours 26 through 30 indicates process is in control 141.840 (19.600] Based on the ğ chart the procees has been Based on the R-chart the process has been