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Exercise 03.42 Algo (Measures of Distribution Shape, Relative Location, and Detecting Outliers) 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 $3000. Assume that the standard deviation is $1200. a. What is the $z$-score for a backyard structure costing $2500 (to 2 decimals)? If your answer is negative, enter minus (-) sign. -0.42 b. What is the $z$-score for a backyard structure costing $4000 (to 2 decimals)? 1.30 c. Interpret the $z$-scores in parts (a) and (b). Comment on whether either should be considered an outlier. $3500 is -0.42 standard deviations below the mean. $4000 is 1.50 standard deviations above the mean. Neither is an outlier. 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 8.33 (to 2 decimals) standard deviations above the mean. This cost is an outlier

          Exercise 03.42 Algo (Measures of Distribution Shape, Relative Location, and Detecting Outliers)
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 $3000. Assume that the standard deviation is $1200.
a. What is the $z$-score for a backyard structure costing $2500 (to 2 decimals)? If your answer is negative, enter minus (-) sign.
-0.42
b. What is the $z$-score for a backyard structure costing $4000 (to 2 decimals)?
1.30
c. Interpret the $z$-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
$3500 is -0.42 standard deviations below the mean.
$4000 is 1.50 standard deviations above the mean.
Neither is an outlier.
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 8.33 (to 2 decimals) standard deviations above the mean. This cost is an outlier

Exercise 03.42 Algo (Measures of Distribution Shape, Relative Location, and Detecting Outliers)
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 3000. Assume that the standard deviation is1200.
a. What is the z-score for a backyard structure costing 2500 (to 2 decimals)? If your answer is negative, enter minus (-) sign.
-0.42
b. What is thez-score for a backyard structure costing4000 (to 2 decimals)?
1.30
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
3500 is -0.42 standard deviations below the mean.4000 is 1.50 standard deviations above the mean.
Neither is an outlier.
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 8.33 (to 2 decimals) standard deviations above the mean. This cost is an outlier

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