00:01
Hello, welcome to this lesson.
00:03
In this lesson we will construct a p -chart for the standard deviation of fuzzy equals to 1 .96 and also look for the upper control and the lower control limit.
00:14
Right, so before that we would have to find the filling the table for proportion defectives.
00:20
So we have a total sample, let me make it e of 20 and a sample size of 10.
00:27
So we divide all the number of defectives by the total sample size.
00:34
So for example here we have 5 divided by 20 which is equal to 0 .25.
00:41
The next one we have 2 divided by 20 which is equal to 0 .1.
00:48
Right, so we have three links for the others.
00:58
So here we should have the average proportion defective which is equal to the summation of the proportion defective.
01:19
Proportion defective divided by the sample size.
01:33
So this is the p and that is equal to the sum of all these values.
01:43
Right, divided by 10.
01:46
So we have 0 .8 divided by 10 that's equal to 0 .0.
01:54
The next part we can calculate the upper control limit that is giving us the p -cap plus the z value times the square root of p -cap 1 minus p on the sample size.
02:10
So here we use the e, the total sample size instead of the sample size for the data.
02:16
We have this plus 0 .12 which is equal to 0 .2.
02:22
We can proceed to calculate the lcl which is equal to the p this time minus the z value times the p -cap 1 minus the p all over the e.
02:38
So we have 0 .08 here, 1 minus 0 .08 all divided by 20.
02:45
And here we have the, so in this term we have the lcl, the lower control limit.
02:52
So we have 0 .08 then minus, this we calculate as 0 .12.
03:01
So this becomes 0, this is negative 0 .04.
03:08
So with the lcl, the ucl and the average defective, the average proportion for the defective.
03:22
Which is 0 .08, we can plot that p -cap.
03:28
This is the lower bound, the x -axis as the sample.
03:33
So we have from 0 .1 to up to 10.
03:47
Then the x -axis we have as the, this here might go into this 10 because we have a negative value...