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Suppose you work for the Department of Natural Resources and you want to estimate, with 95%...

Suppose you work for the Department of Natural Resources and you want to estimate, with 95% confidence, the mean length of recently hatched fish in a fish hatchery pond. You take a random sample of 10 fish and determine that the sample mean length is 7.5 inches and the sample standard deviation is 0.83 inches. (Assume that fish length is normally distributed in this population.) (a) Construct a 95% confidence interval for the mean length of recently hatched fish at the hatchery. Use a 95% confidence level. Show all of your work. Keep AT LEAST THREE decimal places in all calculations. (b) What is the margin of error? Include the proper units. (c) Interpret the meaning of the 95% confidence interval in the context of this problem.

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