## Related questions with answers

Cost of Backyard Structures. 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 $\$ 1200$.

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.

Solution

VerifiedThe goal of the question is to compute the value of the z-score if the cost for a backyard shed-office combination built in Albany is $\$ 13,000$. Then we need to check whether this structure is considered an outlier. So we will use the following formula: The formula for z-score is:

$Z=\frac{X-\mu}{\sigma}$

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