A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table. Car 1 Car 2 Car 3 Car 4 $2,000 Car 5 Car 6 Car 7 $3,000 $1,950 $2,250 $3,550 $3,200 $1,850 $3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175 Difference $265 $100 -$125 -$150 $150 $200 $75 Women Men Mean Standard Deviation Women $2,542.86 $691.27 $2,469.29 $599.77 Difference $73.57 $157.37 Men Dotplots of the data and the differences are shown. 1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700 1,700 1,900 2,100 2,300 -200 -150 -100 -50 Women 0 Men 2,500 2,700 2,900 3,100 3,300 3,500 Difference 50 ● 100 150 200 250 300 Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?

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A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used
the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table.
Car 5 Car 6 Car 7
Car 1 Car 2 Car 3
$3,550 $3,200 $1,850
$2,000 $3,000 $1,950 $2,250
$3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175
Difference $265 $100 -$125 -$150 $150 $200 $75
Women
Men
Women $2,542.86 $691.27
$2,469.29 $599.77
Difference $73.57 $157.37
Men
Mean Standard Deviation
Dotplots of the data and the differences are shown.
1,700
Car 4
1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700
1,900 2,100 2,300
-200 -150 -100 -50
Women
0
Men
2,500
Difference
2,700
50
2,900 3,100 3,300 3,500
100 150 200
250
300
Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?
Transcribed Image Text:A study was conducted to investigate whether local car mechanics charge women more than men for a transmission repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same transmission repair. The process was repeated for a total of seven selected randomly cars. The repair prices and the differences are shown in the table. Car 5 Car 6 Car 7 Car 1 Car 2 Car 3 $3,550 $3,200 $1,850 $2,000 $3,000 $1,950 $2,250 $3,285 $3,100 $1,975 $2,150 $2,850 $1,750 $2,175 Difference $265 $100 -$125 -$150 $150 $200 $75 Women Men Women $2,542.86 $691.27 $2,469.29 $599.77 Difference $73.57 $157.37 Men Mean Standard Deviation Dotplots of the data and the differences are shown. 1,700 Car 4 1,700 1,900 2,100 2,300 2,500 2,700 2,900 3,100 3,300 3,500 3,700 1,900 2,100 2,300 -200 -150 -100 -50 Women 0 Men 2,500 Difference 2,700 50 2,900 3,100 3,300 3,500 100 150 200 250 300 Do the data provide convincing statistical evidence that women pay more than men for the same transmission repair?
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