MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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