A study was conducted to investigate whether local car mechanics charge women more than men for a catalytic converter repair. The researcher selected randomly one man and one woman from everyone who had used the same mechanic for the same catalytic converter repair. The process was repeated for a total of five selected randomly cars. The repair prices and the differences are shown in the table. Car 1Car 2Car 3Car 4Car 5 Women$900$1,180$865$1,350$1,095 Men$825$1,230$750$1,295$975 Difference$75−$50$115$55$120 MeanStandard Deviation Women$1,078.00$201.08 Men$1,015.00$241.12 Difference$63.00$68.79 Dotplots of the data and the differences are shown. A dotplot is shown with the title Women and with points at 865, 900, 1,095, 1,180, and 1,350. A dotplot is shown with the title Men with points at 750, 825, 975, 1,230, and 195. A dotplot is shown with the title Difference with points at negative 50, 55, 75, 115, and 120. Do the data provide convincing statistical evidence that women pay more than men for the same catalytic converter repair? (10 points)
