Question: Due to a lack of precision in the scale used, the value obtained when a fish is weighed is normal with mean equal to the actual weight of the fish and with standard deviation equal to 0.1 grams. A sample of 12 different fish was chosen, and the fish were weighed, with the following results: 5.5, 6.2, 5.8, 5.7, 6.0, 6.2, 5.9, 5.8, 6.1, 6.0, 5.7, 5.6 Estimate the population standard deviation of the actual weight of a fish. Hint: First note that, due to the error involved in weighing a fish, each data value is not the true weight of a fish, but rather is the true weight plus an error term. This error term is an independent random variable that has mean 0 and standard deviation 0.1. Therefore,

Data = true weight + error

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