Question

lo Data were collected on a quantitative measure with a subgroup size of five observations. Thirty subgroups were collected, with x = 48.42 and R=4.5. Complete parts a through c below. Click the icon to view a table of control chart factors. a Determine the Shewhart factors that will be needed if x-and R-charts are to be developed. The Shewhart factor for the x-chart is Az = (Round to three decimal places as needed.) The Shewhart factors for the R-chart are D3 = and D4 = (Round to three decimal places as needed.) hd b. Compute the upper and lower control limits for the R-chart. UCLEO (Round to three decimal places as needed.) S LCL=0 (Round to three decimal places as needed.) edic. Compute the upper and lower control limits for the x-chart se e UCL - ... donimi alone UCL= ion Enter your answer in each of the answer boxes. Тос

Answer 1

The obsa Iive Sadhu Bubgo4212 Here we goeg Hedtoft I so we have ž= 48.42 R = 45 for The schewartz Factor for the x-bao chart A2= o.szz Heal_A2 is find out from contou choot falte This value is Find out by looking of the Do. E abbroupļ Caresponding_Az Yeule by The schewart Forfor R charf B D3= 0 & D4 = 2.114 by Compute the upper & lower limit for R-choot. | UCL = D4 Ř ²2:114 x 4.5 = 9.513 UCL = 9.513 Lc1 = 0 L CL = D3. Ř = 0 x 45 =0 TILL = o |<> Upper & lower limit for -chaot. UCL = Ñ + Az. Ř = 48:42 + 0.577 *4.5 vel = 48:420 LCL-8-A2 R 748.42.-0. 577 x 4.5 LCL = 45 825

This control chart for factor is usefull for u.

Sample Size = m A A₃ d₂ D4 B3 B4 2 09 0 4 5 6 0 7 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.285 0.266 0.249 0235 2.659 1.954 1.628 1.427 1.287 1.182 | 1.099 1.032 0.975 0.927 0.886 0.850 9 10 11 OV. 12 lo 13 14 1.128 | 1.693 2.059 2.326 2.534 2.704 2.847 2.970 3.078 3.173 3.258 3.336 3.407 3.472 3.532 3.588 3.640 3.689 3.735 3.778 | 3.819 3.858 3.895 3.931 3.267 2.574 2.282 2.114 2.004 1.924 1.864 1.816 | 1.777 1.744 1.717 1.693 1.672 1.653 1.637 1.622 1.608 1.597 1.585 1.575 1.566 1.557 1.548 | 1.541 0.817 3.267 2.568 2.266 2.089 1.970 1.882 1.815 1.761 | 1.716 1.679 | 1.646 1.618 | 1.394 1 .572 1.552 1.534 1.518 1.503 1.490 | 1.477 1.466 1.455 1.445 1.435 0 0 0 0.030 0.118 0.185 0.239 0.284 0.321 0.354 0.382 0.406 0.428 0.448 0.466 0.482 0.497 0.510 0.523 0.534 0.545 0.555 0.565 15 0.076 0.136 0.184 0.223 0.256 | 0.283 0.307 0.328 0.347 0.363 0.378 0.391 0.403 0.415 0.425 0.434 0.443 0.451 0.459 16 17 | 0.223 0.212 0.203 0.194 0.187 0.180 0.173 0.167 0.162 0.157 0.153 18 19 20 21 22 23 24 25 0.789 0.763 0.739 0.718 0.698 0.680 0.663 0.647 0.633 0.619 0.606