QUESTION 3 BusinessWeek conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000, and for the female graduates it is $25,000. What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000? 6324.56 15 points QUESTION 4 Based on the last question, respond the following: What is the probability that a simple random sample of 40 female graduates will provide a sample mean within $10,000 of the population mean, $117,000? 3952.85 10 points QUESTION 5 In which of the preceding two cases, (male graduates or female graduates) , do we have a higher probability of obtaining a sample estimate within $10,000 of the population mean? a. Male and female graduates both have almost the same probability of obtaining a sample within 10,000 of the population mean b. We have higher probability in the sample of female graduates c. We have higher probability in the sample of male graduates d. The values of the probabilities are insignificant, therefore a sample of 40 for males and 40 females will not give good sample estimates 10 points QUESTION 6 Following last question, why we have differences in the estimates by gender? g