The average hourly wage of workers at a fast food restaurant is$6.50/hr with a s

Question

The average hourly wage of workers at a fast food restaurant is$6.50/hr with a standard deviation of $0.45. Assume that thedistribution is normally distributed. If a worker at this fast foodrestaurant is selected at random, what is the probability that theworker earns more than $6.75?

A) 27.64%    B) 5.17%    C) 28.77%     D) 42.07%

The average hourly wage of workers at a fast food restaurant is$6.50/hr with a standard deviation of $0.45. Assume that thedistribution is normally distributed. If a worker at this fast foodrestaurant is selected at random, what is the probability that theworker earns more than $6.75?

A) 27.64%    B) 5.17%    C) 28.77%     D) 42.07%

Explanation / Answer

average, = 6.50
standard dev. , = 0.45
X bar = 6.75
Find P( Xbar > 6.75 )
P( ( Xbar - ) / = ( 6.75 - 6.50 )/ 0.45 )
= P( Z > 0.56)
=1- 0.7123 = 0.2877
hence probability = 28.77 %

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