SOLUTION: The diameters of steel disks produced in a plant are normally distributed with a mean of 2.5 cm and standard deviation of .02 cm. ---5% of the disks with the lowest diameters are

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Question 1157815: The diameters of steel disks produced in a plant are normally distributed with a mean of 2.5 cm and standard deviation of .02 cm.
---5% of the disks with the lowest diameters are discarded, find the highest diameter of such disks…………………………………………….
HINT: What value marks the 5th percentile of this distribution?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The z-value for 95th percentile is +1.645
z=(x-mean)/sd
1.645=(x-2.5)/0.02
0.0329=x-2.5
x=2.5329 or 2.533 cm