A government agency wants to determine whether the average salaries of four kinds of transportation operators differ. The accompanying table shows the salaries (in $1,000s) for a random sample of five employees in each of the four categories. Assume that salaries are normally distributed.

a. Specify the competing hypotheses in order to determine whether the average salaries of the transportation operators differ.

b. At the 5% significance level, what is the conclusion to the test?

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Engineer 54.7 Truck Driver Bus Driver Limousine Driver 26.8 40.5 42.7 32.4 53.2 55.1 54.3 51.5 31.2 30.9 31.8 29.8 27.1 28.3 28.3 41.6 40.9 39.2 27.9 29.9