SOLUTION: the population mean annual salary for environmental compliance specialists is about ​$60 comma 000 . A random sample of 36 Specialists are drawn from this population.

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Question 1080891: the population mean annual salary for environmental compliance specialists is about ​$60 comma 000
.
A random sample of 36

Specialists are drawn from this population. What is the probability that the mean salary of the sample is less than ​$57 comma 500
​?
Assume sigma
equals​$5 comma 500.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a z-test, since mu and sigma are both given.
z<(57,500-60,000)/5500/sqrt(36)
<-2500*6/5500
<-2.723.
Probability is 0.0032