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Many families in California r using backyard structures for home offices, art st

ID: 3376107 • Letter: M

Question

Many families in California r using backyard structures for home offices, art studios, & 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.

If the cost for a backyard shed-office combination built in Albany, California, is $13,000,should this structure be considered an outliner.  

$13,000 is ______ (give answer to 2 decimals) standard deviations above the mean. The cost IS an outliner.

Please show how to get the answer

Explanation / Answer

The z-score is = (13000 - mean)/s.d. = (13000 - 3000)/1200 = 8.33.

Thus, $13,000 is 8.33 standard deviations above the mean. The cost IS an outliner.

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