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Take a Test- Chioma Okongwu - Google Chrome I https://www.mathal.com/Student/Player Test.aspx/testd Rs MAT 107 Index 7732 Quiz: Module 6 - Quiz Subimit Quz This Question: 1 pt 41 1 of 18 (10 complete) ph Find the probability and interpret the results If convenient, use technology to rind the probabilty. The aopuiation mean anmualsalary for envronmentail complance specialisis s abour $61,00 A ramdom sample of 37 secilisis raw trom this popusaion Winat s the robablily hat he mean saliay f The probability that the mean salary of the sample is less than $58,000 Is Round to four decital places as needed) Interpret the results. Choose the correct answer below 0 A. About 0 25% of samples of 37 specialists will have a mean salary less than S58.000 This is not an unusual event O B. About 25% of samples of 37 specialists will have a mean salary less than Ssson, Ths is ice an unusual eent only o 25% of samples of 37 specialists will have a mean salary less than $58,000 This is an unusual event. Only 25% of samples specialists will have a mean salary less c. 0 D. than S58 000. This an unusual twen Click to select your answer(s) 42 PM 12/1/2017 O Type here to search

Explanation / Answer

Ans:

Given that

mean=61000

standard deviation=6500

z=(58000-61000)*sqrt(37)/6500=-2.807

P(z<-2.807)=0.0025

As,probability is <0.05,so unusual event.

Option C is correcct.

Only 0.25% of samples of specialist will have mean salary less than 58000.This is an unusual event.

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