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Unformatted text preview: A quality control inspector at the Cocoa Fizzsoft drink company hastaken Mmtv- Ere sampleswith four observations each of the volume of bottles filed. The data and the computed mans are shown in the table. Ifthe standard deviation of the bottling operation is 3.14 ounces, use this information to develop control limits of three standard deviationsfor the bottling operation. flaservations Sample {bottle volume in ounces] Average Range Number 1 2 3 4 2 R 1 15.35 13.32 15.33 1593 15.91 319 2 13.12 13.33 15.35 1331 15.99 322 3 13.33 15.91 15.94 1533 15.92 312 4 13.23 15.35 15.24 15.93 15.93 343 5 15.24 15.33 13.21 1313 15% 342 3 15.94 13.31 13.14 1333 13.33 323 2 15.25 13.21 13.31 1533 15.93 343 3 15.32 15.94 13.32 1594 15.93 323 9 13.34 15.93 15.33 1593 15.93 321 13 15.34 15.33 15.94 15.39 15.33 333 11 13.11 13.33 13.31 1532 15.99 329 12 15.3 15.35 13.12 1315 15.93 343 13 15.35 15.23 15.24 1593 15.33 324 14 15.23 15.34 15.93 1313 15.91 332 15 13.23 13.31 13.13 1539 13.35 331 13 13.12 13.33 15.33 1594 15.99 329 12 13.31 15.93 15.31 1533 15.33 333 13 15.23 13.34 13.11 1312 13.31 334 19 15.34 15.92 13.35 1312 15$ 323 23 15.92 13.39 13.12 15.93 13.32 323 21 13.11 13.32 13.33 15.33 13.33 323 22 15% 15.32 15.39 1539 15.93 313 23 13.35 15.23 15.23 1593 15.33 332 24 13.31 13.31 15.39 1533 15.94 315 25 13.33 15.23 15.92 15.93 15.94 333 Total 393.25 2.12 El Solution The center line ofthe control data isthe average of the sample: Tc— 39325 25 Tt = 1595 The control limits are = .14 UCL = 35+ 20"}: 15.95 + 3 T]:- =13.13 LCL = 2- EU} 2 15.35 - 3(%)=15.24 ...
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