00:01
So process manufacturing data is given in the form of the normal distribution.
00:05
So we need to calculate the diameter at the 32 percentile.
00:11
So the data for normal distribution is given with mean mu is equal to 25 .1 millimeter.
00:21
And the standard deviation, standard deviation is given as 0 .08 millimeter.
00:28
So i will roughly here draw the diagram of the normal distribution.
00:35
It will look like a bell shape curve.
00:37
So the confidence levels are given from the center point.
00:45
So these are the, so this will represent the maximum, 99.
00:55
99 .6 % of confidence level and this area represents the 95 % of confidence.
01:03
Level we need here at the 32 % in the positive direction we need so this is the point in the normal distribution where we need to calculate the value of d so value of diameter so what will do is we use this normal distribution principle to calculate the diameter in 32 302 so z is is equal to x minus mu by sigma x xxxxxxima x x is the value of diameter at the 32 percentile value.
01:40
So at 32 percentile confidence, z value is minus of 0 .468...