Question

True or False Question

In order to establish a control chart for the mean of a process, 20 samples each of size 4 are collected. We note that ∑20 i=1 xi= 4000 and ∑20 i=1 si= 500. The value of the upper control limit of the chart for the mean is approximately equal to 204.5.

True False

Answer 1

Solution : False

Explanation :

Solution :- Given :- K=20 D=4 20 - 3 X = 4000 K=1 20 쿳 - 200 5 = 3 (si se) K ul 500 25 20 Control chart of Upper limit of mean so, is. UCLX = X + Az 5 (A3 from Control Chart t 200+ 0.680* 25 UCLA 217 False (The value of Upper control limit of the chart for mean is not approx to 204.5 it's 217

​​​​​​table values of control chart constant is;

X bar chart R chart S chart Subgroup A3 D3 B3 B. 3.267 2. 3 4 D 3.267 2.574 2.282 2.114 2.004 2.568 2.266 2.089 1.970 5 6 7 8 9 10 11 Sigma estimate dz 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 Az 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.285 0.266 0.249 0.235 0.223 0.212 0.203 0.194 0.187 0.180 0.173 0.167 0.162 0.157 0.153 12 13 2.659 1.954 1.628 1.427 1.287 1.182 1.099 1.032 0.975 0.927 0.886 0.850 0.817 0.789 0.763 0.739 0.718 0.698 0.680 0.663 0.647 0.633 0.619 0.606 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 14 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 1.882 1.815 1.761 1.716 1.679 1.646 1.618 1.594 1.572 1.552 1.534 1.518 1.503 15 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 16 17 18 1.490 19 20 21 22 1.585 1.575 1.477 23 24 3.819 3.858 3.895 3.931 1.566 1.557 1.548 1.541 1.466 1.455 1.445 1.435 25 0.565