How do the average weekly incomes of lawyers and architects compare? A random sample of 18 regions in the United States gave the following information about average weekly incomes (in dollars)

Does this information indicate that architects tend to have a larger average weekly income? Use a = 0.05.

(a) What is the level of signi­ficance? State the null and alternate hypotheses.

(b) Compute the sample test statistic. What is the sampling distribution?

(c) Find the P-value of the sample test statistic.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the application.

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Region 2 345 6789 Lawyers Architects 859 936 887 1100 1378 1295 1039 888 1012 709 898 848 1041 1326 1165 1127 866 1033 Region 10 11 12 13 14 15 16 1718 Lawyers Architects 794 900 501038 1197 939 1124 911 1171 718 835 192 992 1138 920 1397 872 1142