To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n times, and the mean of the weightings is computed. Suppose the scale readings are Normally distributed, with unknown mean m and standard deviation 0.01 . How large should n be, so that a 95% confidence interval for m has a margin of error of  0.0001?

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To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n times, and the mean of the weightings is computed. Suppose the scale readings are Normally distributed, with unknown mean m and standard deviation 0.01 . How large should n be, so that a 95% confidence interval for m has a margin of error of  0.0001?

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