This Question: 2 pts 9 of 19 (10 complete) This Test: 77 pts possible Question H

Question

This Question: 2 pts 9 of 19 (10 complete) This Test: 77 pts possible Question Help * 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 $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 ?-$6,100 The probability that the mean salary of the sample is less than $59,000 is (Round to four decimal places as needed.) nterpret the results. Choose the correct answer below. A. 0 B. ° C. 0 D. Only 2% of samples of 38 specialists will have a mean salary less than $59,000. This is an extremely unusual event. About 2% of samples of 38 specialists will have a mean salary less than $59,000. This is not an unusual event. Only 0.02% of samples of 38 specialists will have a mean salary less than $59,000. This is an extremely unusual event. About 0.02% of samples of 38 specialists will have a mean salary less than $59,000. This is not an unusual event.

Explanation / Answer

solution:-
given that x = 59000 , mean = 625000 , standard deviation = 6100 , n = 38
=> z = (x - ?)/(?/?n)
=> z = (59000 - 62500)/(6100/sqrt(38))
=> p(x-bar - 59000) = -3.5370
=> p(z < -3.5370) = 1? p(z < 3.537)
=1?0.9998
=0.0002

interpret the results choose the correct answer below
option C. Only 0.02% of samples of 38 specialists will have a mean salary less than $59,000. This is an extremely unusual event.

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