To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed a total of n times and the x̅ of the weighings is computed. suppose the scale readings are normally distributed with an unknown mean μ and standard deviation σ = 0.01 grams. how large should n be so that a 95% confidence interval for μ has a margin of error of0.0001 or less?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed a total of n times and the of the weighings is computed. suppose the scale readings are normally distributed with an unknown mean μ and standard deviation σ = 0.01 grams. how large should n be so that a 95% confidence interval for μ has a margin of error of0.0001 or less?  

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