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Question

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?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3We 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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