Question

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 $64,000. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $61,500? Assume o = $6,500 The probability that the mean salary of the sample is less than $61,500 is (Round to four decimal places as needed.) Interpret the results. Choose the correct answer below. O A. Only 11.4% of samples of 35 specialists will have a mean salary less than $61,500. This is an unusual event O B. About 1.14% of samples of 35 specialists will have a mean salary less than $61,500. This is not an unusual event. C. About 11.4% of samples of 35 specialists will have a mean salary less than $61,500. This is not an unusual event. D. Only 1.14% of samples of 35 specialists will have a mean salary less than $61,500. This is an unusual event. Click to select your answer(s).

Answer 1

bet x be the salary of of specialul A. Mill, ry mean = 64.000 standard deviation yo = 6500 w A iandem sample of 35 specialet drawn. n=35 Let 7 be sample mean of of 35 specialul X . n plā) = 64000 S-D=0 6.500 J35 ll 14 < P ( x-u olun 13 P ( mean sodary is less than 61500) P ( X 61500) 61500-el olin oton Z=1-el Plz < 61500 - 64000 ZONON) PL 2c-2.2754) 0.0114 os 147 Only 1.14 % of sample of 35._specialist salary less than 61500 isual event option option 1 is correct 6500/535 = will have This is