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.

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? For the degrees of freedom in this exercise:

Refer to the discussion of using summary statistics in one-way ANOVA. We have provided values of Fα not given in Table VI.

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Field Aeronautical engineering 46 Bioengineering Life sciences Chemistry Industrial engineering Mathematics 56.5 5.6 11 524 4.7 30 35.9 4.0 11 43.7 5.0 44 59. 5.7 18 48.9 4.8 α | 0.10 0.05 0.025 0.01 0.005 Fa 89 2.27 2.65 3.14 3.50