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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
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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