a. For the given data, x =

b. For the given data, mean range =

c. With z=3, the control limits for the mean chart are:

UCLx

LCLx

Control limits for the range chart are:

UCLr

LCLr

Refer to Table 56.1-Fedon for Coming Control Chart Units sigmal for this problem West Battery Corp has recently been receiving complaints from retailers that i his batteries have had an average life of 60 hours, about 10% longer than competitors' models. To raise the time above is level would require an volt bateries are not lasting as long as other name brands James West, head of the TOM program at West's Austin plant, believes there is no problem because el of fechnology not able to West Nevertheless, he is concerned enough to set up houty assembly ine checks Previously, afar i ving that the process was nitning property, West took samples of 5 9volt batteries for 25 test to establish the standents for contrd chart limits, Those 25 tests are shown in the following table Sample Data Sample Data This exercise contains only parts a and a) For the given data, the Hour Sample Taken 1 2 1 2 3 D 01 60 66 67 70 14 61 55 63 55 406 81 At 51 $59 49 63 62 670 71 12 65 7 46 42 40 87 662 77 62 54 955 83 36- 58 10 8156 40 56 11 12 0445 71 0654 50 55 53 16 13 49 79 50 50 4 60 hours fround your response to the decimal places) " D 60 600 40 to 64 140 00 638 17. 006 144 410 53 57.0 56 65 67 50 " 73 15 24 A 30 14 . 25 27 10 606 31 46 600 25 20 62.8 614 30 Hour Sample Taken 1 2 14 63 15 M4 16 DAARAAN 17 18 19 25 COORDIG2828 62 58 53 14 3232323 50 E 4 31 288092021 $ 60 60.0 GAR 582 10.0 614 1 Definition Sample Size, n 2 3 4 5 6 7 8 9 10 12 Mean Factor, A 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Print Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Done Lower Range, D3 0 oooo 0 0 0 0 0.076 0.136 0.184 0.223 0.284