Recall (from Exercise 2.26) that the mean base salary of a software engineering manager is $126,417 (Electronic Design’s 2012 Engineering Salary Survey). Assume (as in Exercises 2.38 and 2.51) that the distribution of base salaries for all software engineers is mound-shaped and symmetric with a standard deviation of $15,000. Suppose a software engineering manager claims his salary is $180,000. Is this claim believable? Explain.

Data from Exercise 2.26

According to Electronic Design’s 2012 Engineering Salary Survey, the mean base salary of a software engineering manager is $126,417—the highest mean among all types of engineers. In contrast, a manufacturing/ production engineer has a mean base salary of $92,360. Assume these values are accurate and represent population means.