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Laboratory tests of bacterial counts are often used for declaring a water source "polluted". Suppose that the distribution of bacterial counts in a sample taken from a certain lake is normally distributed with a variance of 9,000,000. Suppose 25 water samples were taken over the course of July 2018 and yielded a mean count of 12,000. Construct an 80% confidence interval estimate of the unknown mean bacterial count in this lake at this time