The prices of houses in the US are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. A real estate agent takes a random sample of 10 houses and records the mean price. What is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population?

With a sample size of only 10, the Central Limit Theorem does not guarantee that the sample-mean distribution is approximately Normal when the population is strongly skewed. The sampling distribution will retain some of the population’s right skew, so the best answer is “skewed right.”

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