SOLUTION: It is estimated that the average annual salary for a registered nurse is $46,000 with a standard deviation of $1,800. If 9 random samples of 40 nurses each are randomly selected, t

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Question 1089634: It is estimated that the average annual salary for a registered nurse is $46,000 with a standard deviation of $1,800. If 9 random samples of 40 nurses each are randomly selected, the probability that the average salary of one of these samples is less than $45,000 is
A. 0.0002
B. 0.0478
C. 0.2782
D. 0.7218

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(xbar-mean)/sigma/sqrt(n)
z < (45000-46000)/1800/sqrt(40)
z < -1000*sqrt(40)/1800=-3.51
That probability for one sample is 0.00022
A.