This Quiz 12p Find the probabilly and ieterpwet the results. if conveniond, use

Question

This Quiz 12p Find the probabilly and ieterpwet the results. if conveniond, use technology to ind the peobabality $59,0007 Assume o $5,800 The probatity that the mean salary one sample bess than SS 9,000 i'[10 mean annual salary for environmental compliance specialsts is about $61,000. A random sample of 43 specialishs is drawn from this populaion What is the probability that the mean Round to four decimal places as needed) Interpret the rest·Choose the correct answer below About 119%ofsamples of 43 specialsts wil have amean salary less than SS9000 About 119% of samples of 43 specialsts wq have a mean salary less than S59 000 Only 119% of samples of 43 specialsts have a mean salary less than $59,000 This Only 119% of samples of 4)specialists w-have a mean salary less nan SS9.000 Thisan unwal event OA· OB, C. 9D· This h not unusual event This is not anumnual event an unsual event k to select your answer(s

Explanation / Answer

Solution:- P(sample mean salary < 59,000)
= P[Z < (59,000 - 61,000)/(5,800/sqrt(43))] = P(Z < -2000/884.4917)
= P(Z < -2.2611)
= 10.9881
= 0.0119

=> option D.

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