SOCSCI 2J03 Lecture Notes - Lecture 27: Central Limit Theorem, Medscape, Internal Medicine

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Socsci 2j03 lecture 27 sampling from normal distribution population. According to the 2015 physician compensation report by medscape (a subsidiary of. Webmd), american internal medicine physicians earned an average of ,000 in 2014. Suppose that the 2014 earnings of all american internal medicine physicians are approximately normally distributed with a mean of ,000 and a standard deviation of. Let x be the mean 2014 earnings of a random sample of american internal medicine physicians. Calculate the mean and standard deviation of x and describe the shape of its sampling distribution when the sample size is (a) 16 (b) 50 (c) 1000. Mean = ,000 and standard deviation = ,000. According to the central limit theorem, for a large sample. Size, the sampling distribution of x is approximately normal, irrespective of the shape of the population distribution. The mean and standard deviation of the sampling distribution of x are.

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