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 $3100. Assume that the standard deviation is $1200. a. What is the Z-score for a backyard structure costing $2300 (to 2 decimals)? If your answer is negative, enter minus (-) sign. b. What is the Z-score for a backyard structure costing $4700 (to 2 decimals)? c. Interpret the Z-scores in parts (a) and (b). Comment on whether either should be considered an outlier. $2300 is standard deviations - Select your answer - )the mean. $4700 is standard deviations - Select your answer - + the mean. - Select your answer - d. If the cost for a backyard shed-office combination built in Albany, California, is $13, 000, should this structure be considered an outlier? Explain. $13, 000 is (to 2 decimals) standard deviations (- Select your answer - ) the mean. This cost - Select your answer - + an outlier