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. Determine whether the following statements are true or false.

a. All software engineering managers earn a base salary of $126,417.

b. Half of all manufacturing/production engineers earn a base salary less than $92,360.

c. A randomly selected software engineering manager will always earn more in base salary than a randomly selected manufacturing/production engineer.