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The following data is obtained from a population known to have mean 15 and variance 9. 8.81 15.91 20.39 8.63 13.80 21.73 27.23 7.32 14.83

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The following data is obtained from a population known to have mean 15 and variance 9. 8.81 15.91 20.39 8.63 13.80 21.73 27.23 7.32 14.83 20.26 (a) Compute the sample mean, median and standard deviation of the data. (b) What is the expected value of the sample mean? What is its variance? (c) If the data is known to come from a Gaussian population, find the 95% confidence interval for the mean

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