Suppose that 16 samples of pesticide concentrations in plants in Halifax are taken giving a sample mean of 22.8 ppm and sample standard deviation of 5.3 ppm. Assume that the observations are (at least approximately) normally distributed. Now suppose that the true standard deviation is assumed to be known as 5.3 ppm. If you want to be 99% confident that the estimated mean pesticide concentration is within 2 ppm of the true mean, how many samples should you take?

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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Suppose that 16 samples of pesticide concentrations in plants in Halifax are taken giving
a sample mean of 22.8 ppm and sample standard deviation of 5.3 ppm. Assume that the
observations are (at least approximately) normally distributed.

Now suppose that the true standard deviation is assumed to be known as 5.3 ppm. If
you want to be 99% confident that the estimated mean pesticide concentration is within 2
ppm of the true mean, how many samples should you take?

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