00:01
Let us start with our question.
00:01
So, we have 3 sigma control limit for c chart as ucl is equal to c bar plus 3 square root of c bar, then clc is equal to c bar and lcl is equal to c bar minus 3 square root of c bar.
00:21
Right over here, c bar is equal to average number of process non -conformities.
00:44
Right, okay.
00:46
Now, we have been given c bar is equal to 9.
00:49
So, we can find ucl will be 9 plus 3 square root of 9.
00:55
So, that is equal to 9 plus 9 that is equal to 18 and lcl is equal to 9 minus 9.
01:04
So, that is equal to 0.
01:07
Right.
01:08
This was our part a.
01:10
Now, part b what they have asked is the 3 sigma control limit for u chart.
01:16
So, we have been given u chart and c bar is equal to 16, n is equal to 4.
01:22
Right.
01:23
So, we have ucl u is equal to u bar plus 3 square root u bar by n.
01:37
Right.
01:38
First of all, we need to find u bar.
01:40
So, u bar is equal to c bar by n.
01:43
So, that is 16 by 4.
01:46
So, that is equal to 4.
01:48
So, our u bar is equal to 4.
01:50
Here, we have u is equal to, sorry, u bar is equal to average number of non -conformities per inspection unit.
02:23
Okay.
02:23
So, this has been given.
02:25
Now, we have also been given as clu is equal to u bar.
02:31
Right...