Starting Salaries. The National Association of Colleges and Employers(NACE) conducts surveys on salary offers to college graduates by field and degree. Results are published in Salary Survey. The following table provides summary statistics for starting salaries, in thousands of dollars, to samples of bachelor’s-degree graduates in six fields.

Field nj x¯j sj Business 46 55.1 5.6 Communications 11 44.6 4.7 Computer Science 30 59.1 4.0 Education 11 40.6 5.0 Engineering 44 62.6 5.7 Math & Sciences 18 43.0 4.8 At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean starting salaries among bachelor’s-degree candidates in the six fields? Note: For the degrees of freedom in this exercise:

α 0.10 0.05 0.025 0.01 0.005 Fα 1.89 2.27 2.65 3.14 3.50 Working with Large Data Sets In Exercises 16.64–16.72, use the technology of your choice to do the following tasks.

a. Obtain individual normal probability plots and the standard deviations of the samples.

b. Perform a residual analysis.

c. Use your results from parts

(a) and

(b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts

(d) and (e).

d. Use a one-way ANOVA test to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken.

e. Interpret your results from part (d).