You are a researcher studying a certain species of fish in a local lake. You gather a random sample of 19 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all fish of this type in the lake. Use a 99% confidence level. 9.1 9 8.6 5.8 9.8 7.4 9.1 9.5 8.2 8.9 9.3 7.8 9 9.6 10.4 13.6 7.2 10.1 8.9 a) Find the confidence interval: b) What is the margin of error of your interval? c) Interpret your 99% confidence interval in context

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