Quiz: Final Exam Time 01:41 48 Submt Qua This Quiz: 250 pts possib Find the prob

Question

Quiz: Final Exam Time 01:41 48 Submt Qua This Quiz: 250 pts possib Find the probability and interpeet the resuts If convenient, use bechnology to find the probabilily The $61 ,000 ? Assume -6.300 mean annual salary or environmental con plance specialists is about S64 500 A random sample of 6 specialists is drawn horn this population what is the probably hat the mean salary of sample les, The probability thate mean salary of the sample is less tan $61,000 is Round to four decimal places as needed) Interpret the results Choose the correct answer below OA. Orly O 04% of samples of 36 specialsts wa have amaan salary less than $61,000 This is an extremely unusual event B. oc. OD, About 0 04% of samples of 36specialsts wil have amaan salary less than $61,000 This is not an unusual event Only 4% of samples of 36 About 4% af samples od 36 specalists will have a mean salary less than $61,000 Thisisnot an urusual event am Your Fust 5300-Taking Pad Suveys y.com

Explanation / Answer

Solution:-
= 64500, n = 36, x-bar = 61000, = 6300

z = (x-bar - )/(/n)

z = (61000 - 64500)/(6300/36)

z = -3.3333

P(Z<3.3333) = 1(Z<3.3333)
= 10.9996
= 0.0004

=> option A. only 0.04% of sample of 36 specialists will have a mean salary less than $61,000.the is an extremely unusual ever.

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