A pharmaceutical manufacturer makes more than 500 000 pills of a certain drug each day. The company randomly samples 400 pills daily to check that they meet the proper weight and size standards. On a given day, 52 pills were found to be substandard. a) What is the margin of error for this sample at a confidence level of 90%? b) If the company would like to cut the margin of error in half, how would the sample size have to change?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A pharmaceutical manufacturer makes more than 500 000 pills of a certain
drug each day. The company randomly samples 400 pills daily to check
that they meet the proper weight and size standards. On a given day, 52
pills were found to be substandard.
a) What is the margin of error for this sample at a confidence level of 90%?
b) If the company would like to cut the margin of error in half, how would
the sample size have to change?
Transcribed Image Text:A pharmaceutical manufacturer makes more than 500 000 pills of a certain drug each day. The company randomly samples 400 pills daily to check that they meet the proper weight and size standards. On a given day, 52 pills were found to be substandard. a) What is the margin of error for this sample at a confidence level of 90%? b) If the company would like to cut the margin of error in half, how would the sample size have to change?
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