Question: Let's consider a sampling distribution of the sample means that could be computed from all possible random samples of size n from the homes advertised for sale by owner in your state. The Central Limit Theorem (C.L.T.) states that as the sample size n increases, the shape of the distribution of the sample means will approach a normal distribution regardless of the shape of the population from which the samples of size n are selected. A rule of thumb regarding how large n needs to be in order to use a normal distribution to approximate the distribution of the sample means when the population distribution might not be normal, is that the sample size should be 30 or more. To answer questions about sample means using the C.L.T., everyone's original sample size met the rule of thumb. But what about the n of your trimmed set of prices? Could the C.L.T. be applied to answer questions about sample means from the population of trimmed advertized selling prices of homes in your state? Explain. That is, state yes or no and state why or why not.

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