An automobile manufacturer wishes to test that claim that synthetic motor oil can improve gas mileage (in miles per gallon, or mpg). The table below shows the gas mileages, in mpg, of six cars that used synthetic motor oil. The table also shows the gas mileages in mpg of six cars that were using conventional motor oil (the controls).  Synthetic 26 27 27 26 28 29 Control 26 25 24 26 27 25 Can you conclude that the mean gas mileage for cars using conventional motor oil is less than the mean for the synthetic motor oil? Use the .01 level of significance.

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An automobile manufacturer wishes to test that claim that synthetic motor oil can improve gas mileage (in miles per gallon, or mpg). The table below shows the gas mileages, in mpg, of six cars that used synthetic motor oil. The table also shows the gas mileages in mpg of six cars that were using conventional motor oil (the controls). 

Synthetic 26 27 27 26 28 29
Control 26 25 24 26 27 25


Can you conclude that the mean gas mileage for cars using conventional motor oil is less than the mean for the synthetic motor oil? Use the .01 level of significance.

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