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.)Region123456789Electricians464715597464736694744571806Carpenters542813513476688503789653474Region1011121314151617Electricians592594702579868598597654Carpenters489647676384817605556505Does 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?(b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.

Answered: How do the average weekly incomes of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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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	464	715	597	464	736	694	744	571	806
Carpenters	542	813	513	476	688	503	789	653	474

Region	10	11	12	13	14	15	16	17
Electricians	592	594	702	579	868	598	597	654
Carpenters	489	647	676	384	817	605	556	505

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?

(b) Compute the sample test statistic.

Expert Solution

Step 1

First We need to check whether variances are equal or not, To check the run an F test

	Electrician(1)	Carpenters(2)
Sample Size(n)	17	17
Mean	645.5882	595.8824
Variance	11996.13	16749.11

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