ASSIGNMENT 3 Design Layout References Mailings Review View Developer Help New Tab New Ta 90 1234567891011121 16 17 West Battery Crop 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 50 hours, about 10% longer than competitors' models To rise the lifetime above this level would require a new level of technology not available to West Nevertheless, he is concemed enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly. West took size n = 5 samples of 9 volt batteries for each of 30 hours to establish the standards for control chart limits. Those samples are shown in the following table: West Battery Data - Battery Lifetimes (in hours) Sample Sample Hour 1 2 3 4 4 5 Hour 1 2 4 5 1 51 50 49 50 50 16 62 49 42 33 55 2 45 47 70 46 36 17 40 39 59 48 3 50 35 48 39 47 18 64 50 42 57 50 4 55 70 50 30 51 19 58 53 52 48 50 5 49 38 6436 47 20 60 50 41 41 50 6 59 62 40 54 64 21 48 58 40 7 36 33 49 48 56 22 55 40 8 50 67 53 43 40 23 47 48 50 50 48 9 44 52 46 47 44 24 50 50 49 51 10 70 45 5047 25 51 50 51 51 11 57 54 62 45 36 26 48 39 57 61 12 56 54 47 42 62 27 45 53 48 40 66 13 40 70 58 45 44 28 3 49 50 14 52 58 40 52 46 29 70 61 15 30 45 38 40 28 98 9888 88 a) Determine means, upper and lower control limits for x and R charts b) Construct the X and R charts c) Is the manufacturing process in control? Justify your answer. ASSIGNMENT 3 Design Layout References Mailings Review View Developer Help New Tab New Ta 90 1234567891011121 16 17 West Battery Crop 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 50 hours, about 10% longer than competitors' models To rise the lifetime above this level would require a new level of technology not available to West Nevertheless, he is concemed enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly. West took size n = 5 samples of 9 volt batteries for each of 30 hours to establish the standards for control chart limits. Those samples are shown in the following table: West Battery Data - Battery Lifetimes (in hours) Sample Sample Hour 1 2 3 4 4 5 Hour 1 2 4 5 1 51 50 49 50 50 16 62 49 42 33 55 2 45 47 70 46 36 17 40 39 59 48 3 50 35 48 39 47 18 64 50 42 57 50 4 55 70 50 30 51 19 58 53 52 48 50 5 49 38 6436 47 20 60 50 41 41 50 6 59 62 40 54 64 21 48 58 40 7 36 33 49 48 56 22 55 40 8 50 67 53 43 40 23 47 48 50 50 48 9 44 52 46 47 44 24 50 50 49 51 10 70 45 5047 25 51 50 51 51 11 57 54 62 45 36 26 48 39 57 61 12 56 54 47 42 62 27 45 53 48 40 66 13 40 70 58 45 44 28 3 49 50 14 52 58 40 52 46 29 70 61 15 30 45 38 40 28 98 9888 88 a) Determine means, upper and lower control limits for x and R charts b) Construct the X and R charts c) Is the manufacturing process in control? Justify your