How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars)

Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance.
(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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9 6 Region Electricians 461 713 593 468 730 690 740 572 805 Carpenters 540 812 512 473 686 507 785 657 475 17 653 501 12 13 14 15 16 Region Electricians Carpenters 10 593 485 572 863 599 596 600 559 593 700 646 675 382 819