men Refer to Table 56.1 Factors for Computing Control Chart Limits (3 sigma) for this problem. 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 concemned 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 4 5 4 Hour Sample Taken 1 2 3 4 5 6 7 B 9 10 11 12 13 2 47 32 38 28 40 12 42 39 36 36 26 44 46 39 29 48 53 27 24 40 33 60 47 47 30 60 3 31 61 39 42 43 26 38 43 37 41 51 38 37 28 40 42 43 39 32 38 38 34 32 34 41 25 48 42 36 57 47 31 34 32 26 38.8 39.0 36.0 42.8 37.8 45.4 35.0 40.6 37.0 41.2 40.4 42.6 41.0 Hour Sample Taken 14 15 16 17 18 19 20 21 22 23 24 25 R 11 36 22 6 14 31 23 26 10 28 25 1 42 48 51 31 53 47 51 43 44 37 40 40 3 31 42 33 40 32 43 30 39 47 39 38 40 43 47 24 49 47 39 32 48 38 40 41 41 5 35 48 46 37 41 41 39 30 35 38 40 51 x 39.6 43.4 38.4 37.0 42.6 42.8 38.6 39.4 38.6 38.4 40.0 422 R 16 16 27 21 21 8 21 18 18 3 3 12 41 37 29 38 41 39 This exercise contains only parts and b. g Control Chart Limits (3 sigma) for this problem. eiving complaints from retailers that its 9-volt batteries are not lasting as long as othe Eves there is no problem because his batteries have had an average life of 40 hours, i Definition Mean Factor, Sample Size, n Upper Range, Lower Range, A2 D4 D3 2 3 5 6 7 8 9 10 12 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 18 8. 0. 2.2 Print Done db a) For the given data, the x = hours (round your response to three decimal places). For the given data, mean range = hours (round your response to two decimal places). With z=3, the control limits for the mean chart are: UCLE hours (round your response to three decimal places). LCL hours (round your response to three decimal places). The control limits for the range chart are: UCLR = hours (round your response to two decimal places). LCLR hours (round your response to two decimal places). With these limits established, West now takes 5 more hours of data, which are shown in the following table. Calculate the mean and range for each hour that the sample data is taken. (Enter your responses for the mean to one decimal place and enter your responses for the range as whole numbers.) Sample Data Hour Sample Taken 26 2 4 5 1 38 3 28 43 50 46 36 35 42 55 27 28 29 *OOODE 54 35 42 39 39 35 35 39 60 28 47 42 51 30 36 43 41 b) Do the samples for hours 26 through 30 indicate that the process is in control? Based on the x-chart, the process has been Based on the R-chart, the process has been Enter your answer in each of the answer boxes