Problem 10-2 An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.00 liter and a standard deviation of 0.05 liter. Output is monitored using means of samples of 29 observations. Use Table-A. a. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers to 4 decimal places.) Upper control limits: Lower control limits: O liter Now] liter ble A Areas under the normal curve, 0 to z .00 01 .02 .04 .05 .06 .02 .03 09 oo8 0478 0199 [0596 [004 .0438 0 .127 1591 01@ 055 48 0398 078 1179 .1554 .03 01m 057 0910 .1233 1664 m19 .0239 .0636 .1026 1406 1772 0319 74 .11 140 .184 359 75 11 .1517 .17 1 1 .1628 17 16 1736 ng gg .an 675 1cs4 .14 .1908 2157 2496 mA 078 .115 2054 22 2454 2257 25 2EB 3159 .19 #11 810 3196 2873 21 25 22 3106 3E m24 849 252 2133 039 a 05 15 1995 2224 242 299 212 3461 166 3 406 7 554 4 3665 621 357 a 3599 1910 08 1 413 364 343 4032 4132 .404 40 79 4162 6 19 = ap 3485 3a7 4032 4226 40 44 .4664 132 45 44g 06 4515 505 452 454 1 358 461 6 484 .719 17 3 455 5 43 4686 7 . 453 47 478 4 48 48z 72 421 403 6 490 4g 4812 ,481? 48 .4916 46 n 401 428 t 491 43 4911 490 49 4913 4 1 445 4956 487 495 431 448 4971 483 461 4/ 4 ,457 4 47 49 sa 49 4 490 49 4374 4957 4964 4974 41 4985 469 42 4944 4976 451 4 4sts 4 43