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). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 469 715 596 464 738 693 748 573 809 Carpenters 544 817 511 474 681 505 786 659 478 Region 10 11 12 13 14 15 16 17 Electricians 592 596 706 574 865 597 597 652 Carpenters 487 643 678 381 818 607 555 507 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 10% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.)

Region 1 2 3 4 5 6 7 8 9
Electricians 469 715 596 464 738 693 748 573 809
Carpenters 544 817 511 474 681 505 786 659 478

Region 10 11 12 13 14 15 16 17
Electricians 592 596 706 574 865 597 597 652
Carpenters 487 643 678 381 818 607 555 507

Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 10% level of significance.

(a) What is the level of significance?
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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