Find the probability and interpret the results. If convenient,
Find the probability and interpret the results. If convenient, use technology to find the
probability.
The population mean annual salary for environmental compliance specialists is about $63,000. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $60,500? Assume σ =$5,800.
The probability that the mean salary of the sample is less than $60,500 is ( )
(Round to four decimal places as needed.)
Interpret the results. Choose the correct answer below.
A.
Only 54% of samples of 35 specialists will have a mean salary less than $60,500. This is an unusual event.
B.
Only 0.54% of samples of 35 specialists will have a mean salary less than $60,500. This is an unusual event.
C.
About 0.54% of samples of 35 specialists will have a mean salary less than $60,500. This is not an unusual event.
D.
About 54% of samples of 35 specialists will have a mean salary less than $60,500. This is not an unusual, even