# Answer to Question #16382 in Statistics and Probability for Gabriel

Question #16382

A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 5. The sample mean is 20. (a) Determine the standard error of the mean. (b) Determine the 95% confidence interval for the population mean

Expert's answer

SE = SD/sqrt(n) = 5/sqrt(10) ≈ 1.58

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