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A study was conducted to investigate whether local car mechanics charge women more than men for an alternator repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same alternator repair. The process was repeated for a total of six selected randomly cars. The repair prices and the differences (Women – Men) are shown in the table. Do the data provide convincing statistical evidence that women pay more than men for the same alternator repair?

A study was conducted to investigate whether local car mechanics charge women more than men for an alternator repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same alternator repair. The process was repeated for a total of six selected randomly cars. The repair prices and the differences (Women – Men) are shown in the table. Do the data provide convincing statistical evidence that women pay more than men for the same alternator repair?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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A study was conducted to investigate whether local car mechanics charge women more than men for an alternator repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same alternator repair. The process was repeated for a total of six selected randomly cars. The repair prices and the differences (Women – Men) are shown in the table.

Do the data provide convincing statistical evidence that women pay more than men for the same alternator repair?

Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Women $625 $580 $500 $350 $425 $525 Men $595 $560 $485 $330 $495 $465 Difference $30 $20 $15 $20 -$70 $60 Мean Standard Deviation Women $500.83 $100.77 Men $488.33 $91.85 Difference $12.50 $43.56 Dotplots of the data and the differences are shown. Women 300 350 400 450 500 550 600 650 Men 300 350 400 450 500 550 600 650 Difference -100 -80 -60 -40 -20 20 40 60 80
Transcribed Image Text:Car 1 Car 2 Car 3 Car 4 Car 5 Car 6 Women $625 $580 $500 $350 $425 $525 Men $595 $560 $485 $330 $495 $465 Difference $30 $20 $15 $20 -$70 $60 Мean Standard Deviation Women $500.83 $100.77 Men $488.33 $91.85 Difference $12.50 $43.56 Dotplots of the data and the differences are shown. Women 300 350 400 450 500 550 600 650 Men 300 350 400 450 500 550 600 650 Difference -100 -80 -60 -40 -20 20 40 60 80
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