Suppose the starting salaries for a business graduate in Virginia is adequately approximated by a normal distribution with mean of $42,000 and standard deviation $3,500.

a.You received a job offer of $43,800. What is the Z value for the offer?

b.What percentile of starting salaries is the offer? That is, what percentage of starting salaries are lower than the one offered you?

c.Since you finished in the top 20 percent of your class you feel your starting salary should be in the top 20 percent of starting salaries. What is the lowest salary you could get and be in the top 20 percent?

d.You read that starting salaries in Maryland were higher than Virginia, but couldnt find exact figures. You did find that the top 10 percent of salaries were $47,000 and above, while the bottom 10 percent were below $38,500. What are the mean and standard deviation of salaries in Maryland? (Assume salaries follow the normal distribution.)

e.Suppose a couple is considering searching for jobs in Virginia. One is a business major and the other a Computer Science major. Starting salaries for Computer Science majors in Virginia are adequately approximated by a normal distribution with mean of $52,000 and standard deviation $4,750. Starting salaries for business majors in Virginia are as shown in the opening paragraph. What is the mean and standard deviation of the couples combined salaries? (Use the properties of Expected Values and Variances from the Text 8.3)

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