Many families in California are using backyard structures for home offices, are 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.  Show steps in Excel for all. a What is the z-score for a backyard structure costing $2300? b What is the z-score for a backyard structure costing $4900 c Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier. d If the cost for a backyard shed-office combination built in Albany, California is $13000, should the structure be considered an outlier? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Many families in California are using backyard structures for home offices, are 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.  Show steps in Excel for all.
a What is the z-score for a backyard structure costing $2300?
b What is the z-score for a backyard structure costing $4900
c Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an
outlier.
d If the cost for a backyard shed-office combination built in Albany, California is $13000, should the
structure be considered an outlier? Explain.

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