Let denote the true pH of a chemical compound. A sequence of n independent sample pH determinations

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Let denote the true pH of a chemical compound. A sequence of n independent sample pH determinations will be made. Suppose each sample pH is a random variable with expected value and standard deviation .1. How many determinations are required if we wish the probability that the sample average is within .02 of the true pH to be at least

.95? What theorem justifies your probability calculation?

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