b.What is the advantage of a larger sample size wheh attemping tolation mean?The Economic Policy Institute periodically issues reports on wages of entry level workers.27,The institute reported that entry level wages for male college graduates were $21.68 perhour and for female college graduates were $18.80 per hour in 2011 (Economic Policy Chapter 7 Sampling and Sampling DistributionsInstitute website, March 30, 2012). Assume the standard deviation for male graduates is$2.30, and for female graduates it is $2.05.EWhat is the probability that a sample of 50 male graduates will provide a sample meanwithin $.50 of the population mean, $21.682 S1b. What is the probability that a sample of 50 female graduates will provide a samplemean within $.50 of the population mean, $18.80? 46c. In which of the preceding two cases, part (a) or part (b), do we have a higher prob-ability of obtaining a sample estimate within $.50 of the population mean? Why?6/What is the probability that a sample of 120 female graduates will provide a samplemean more than $.30 below the population mean?a.FO. 3d.state of

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Institute website, March 30, 2012). Assume the standard deviation for male graduales IS *$2.30, and for female graduates it is $2.05.E a. What is the probability that a sample of 50 male graduates will provide a sample mean within $.50 of the population mean, $21.682 814 b. What is the probability that a sample of 50 female graduates will provide a sample mean within $.50 of the population mean, $18.80? 14 6 In which of the preceding two cases, part (a) or part (b), do we have a higher prob- ability of obtaining a sample estimate within $.50 of the population mean? Why?6/ d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $.30 below the population mean? c. is le