SOLUTION: 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
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Question 668363: 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 2004 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.
You can put this solution on YOUR website! Laboratory tests of bacterial counts are often used for declaring a water source "polluted".
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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.
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Suppose 25 water samples were taken over the course of july 2004 and yielded a mean count of 12,000.
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Construct an 80% confidence interval estimate of the unknown mean bacterial count in this lake at this time.
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x-bar = 12,000
ME = 1.2816 * [sqrt[9000000/25] = 768.93
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80% CI: 12,000 -768.93 < u < 12000 +768.93
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Cheers,
Stan H.
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