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A random sample of 15 fish caught in a local lake had mean length 11.6 inches with sample standard deviation s = 2.4 inches. Find

A random sample of 15 fish caught in a local lake had mean length 11.6 inches with sample standard deviation s = 2.4 inches. Find a 95% confidence interval for the population mean length of all Rainbow Trout in this lake. Show all work. Assume the lengths of the fish are approximately normally distributed. please explain the meaning of the confidence interval in the context of this problem.

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