Find the probability and interpret the results. If convenient, use technology to

Question

Find the probability and interpret the results. If convenient, use technology to find the probabilty pliance specialists is about $61,500. A random sample of 40 specialists is drawn from this population What is The population mean annual salary for environmental com the probability that the mean salary of the sample is less than $50,500? Assume = S5500 The probability that the mean salary of the sample is less than $59,500 is Round to four decimal places as needed) Interpret the results. Choose the correct answer below o A. Only 1 07% of samples of 40 specialists wil have a mean salary less than S 59500 This is an unusual event 0 B. Only 10 7% of samples of 40 specialists wil have a mean salary less than $59500 This is an unusual event O C. About 1.07% of samples of 40 specialists will have a mean salary less than SS9500 This is not an unusual event 0 D. About 10 7% of samples of 40 specialists will have a mean salary less than $59,500 This is not an unusual event

Explanation / Answer

here std error of mean =std deviaiton/(n)1/2 =5500/(40)1/2 =869.6264

tehrefore probability mean salary is less than 59500=P(X<59500)=P(Z<(59500-61500)/869.6264)

=P(Z<-2.2998)=0.0107

option A is correct

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