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# Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a normal distribution with $\sigma = \3.00$. If 20 percent of all part- time seasonal employees make more than \$13.16 an hour, what is the average hourly pay rate at this mountain?

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We want to know the mean hourly rate for normally distributed data with a standard deviation of $\3$ and whose $20\%$ employees make more than $\13.16$ per hour. To find the average, we first find the corresponding $z$ score. Then, use the $x$ formula, derived from the $z$ score formula,:

$x=\mu+z\sigma\ ,$

to find $\mu$.

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