A recent survey showed that the average annual salary 10 years after bachelor's graduation was $168,000 for men and $117,000 for women. The standard deviation for male graduates' salaries is $40,000 and for female salaries is $25,000. a) What is the probability that a random sample of 40 females will give a sample mean within $10,000 of $117,000? b) What is the probability that a random sample of 100 males will give a sample mean less than $164,000?

The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…

The MBA program at Dover College has an enrollment of 160 students with an average age of 34.7 years old and a standard deviation 5.2 years. A random sample of 40 MBA students was selected. What is the probability that the average age of the sample is less than 34 years old?

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 35.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35.2 weeks and that the population standard deviation is 5.6 weeks. Suppose you would like to select a random sample of 29 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 33.1 and 33.8. Р(3.1