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Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that

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Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,400. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,400? (Round your answer to two decimal places.) z= (b) What is the z-score for a backyard structure costing $5,200? z= (c) Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier. The cost $2,400 is 0.83 standard deviations below cost $5,200 is 1.50 standard deviations below the mean, therefore it is not an outlier x the mean, therefore it is an outlier x . The (d) The cost for a backyard shed-office combination built in Albany, California, is $14,500. Compute the z-score for this structure. 2=> Should this structure be considered an outlier? Explain. This structure is not an outlier because the z-score is greater than 3

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