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 means annual salary for environmental compliance specialists is about $62,500. A random sample of 38 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $59,000? Assume g =$6,400. The probability that the mean salary of the sample is less than $59,000 is .(Round to four decimal places as needed.) Interpret the results. Choose the correct answer below. Only 0.04% of samples of 38 specialists will have a mean salary less than $59,000. This is an extremely unusual event. About 4% of samples of 38 specialists will have a mean salary less than $59,000. This is not an unusual event. Only 4% of samples of 38 specialists will have a mean salary less than $59,000. This is an extremely unusual event. About 0.04% of samples of 38 specialists will have a mean salary less than $59,000. This is not an unusual event.

Solution

Mean = 59000

SD =6400

n= 38

X-bar = 62500

z = (Xbar - Mean)/(SD/sqrt(n))

= (62500 - 59000)/(6400/sqrt(38))

= 3.37

P-value = 0.9996 Answer

A. Only 0.04% of samples will have mean salary less than 59000 . This is an extremely unusual event.