Question

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 (to 2 decimals)? If your answer is negative, enter minus (-) sign. -0.67

b. What is the z-score for a backyard structure costing (to 2 decimals)? 1.58

c. Interpret the -scores in parts (a) and (b). Comment on whether either should be considered an outlier.

2200 is ______ standard deviations________( below or above) the mean.

4900 is ______ standard deviations________(below or above) the mean.

d. If the cost for a backyard shed-office combination built in Albany, California, is 13000 , should this structure be considered an outlier? Explain.

13000 is ______ (to 2 decimals) standard deviations the mean. This cost ___(is/ is not) an outlier.

Answer 1

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a. What is the z-score for a backyard structure costing 2200(to 2 decimals)? If your answer is negative, enter minus (-) sign.

Answer: -0.67

b) What is the z-score for a backyard structure costing 4900 (to 2 decimals)?

Answer 1.58

c)

2200 is -0.67standard deviations below the mean.

4900 is 1.58 standard deviations above the mean.

d) 13000 is 8.33 (to 2 decimals) standard deviations the mean. This cost is an outlier.