In: Statistics and Probability
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.
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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.