(Answered) Question someone claims that within a certain neighborhood

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Question: Someone claims that within a certain neighborhood, the average cost of a house is µ =$100,000 with a standard deviation of σ = $10,000. Suppose that based on n = 16 homes, you find that the average cost of a house is X¯ = $95,000. Assuming normality, what is the probability of getting a sample mean this low or lower if the claims about the mean and standard deviation are true?

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