Construct a p-chart with the following information, find control limits, compare
ID: 360368 • Letter: C
Question
Construct a p-chart with the following information, find control limits, compare the standard P and average sample size chart:
subgroup n Np
1 1753 41
2 1772 56
3 1698 50
4 1800 62
5 1654 39
6 1275 29
7 1161 62
8 1976 21
9 1421 40
10 1750 40
Explanation / Answer
The calculations for p for each subgroup and the grand P proportion are as follows:
Solution is as follows assuming value of n=1626 (16260/10)
further calculations are as follows:
Subgroup n Np p 1 1753 41 0.0233885 2 1772 56 0.0316027 3 1698 50 0.0294464 4 1800 62 0.0344444 5 1654 39 0.0235792 6 1275 29 0.0227451 7 1161 62 0.0534022 8 1976 21 0.0106275 9 1421 40 0.0281492 10 1750 40 0.0228571 Total 16260 440 0.2802424 Mean of subgroup p=0.0280 Grand p = 440/16260=0.02706 p-bar =0.02706