Estimate the parameters of the normal distribution, Basic Statistics

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The sizes of 15 California earthquakes are given below.

6.8 6.6 7.5 6.2 6.5 7.1 8.3 5.9 6.1 6.9 7.0 6.2 5.9 6.3 7.3

(a) Assuming normal distribution for the size of the earthquakes, estimate the parameters of the normal distribution using the method of the moments.

(b) Find a 95% confidence interval for the mean size.

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