# using a z-score to determine the number of defective items in a production process.

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Question was asked previously and the calculations not detailed enough for me to determine how the answer was received. Please provide detailed explanation - I got a different answer and I KNOW mine is not right!

Question: A manufacturing process produces units that average 10 inches in length with a standard deviation of 3.2 inches. If only those units between 9.5 and 10.5 inches can be sued, how many out of sample of 100 must be thrown away?

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#### Solution Preview

This is a confidence interval question:

The acceptable range is 10.5-10=0.5 inch

The standard error is ...

#### Solution Summary

the following exercise shows the process for calculating the probability that an item is defective given a sample from a manufacturing process.

$2.49