Can you conclude that the mean gas mileage for cars using conventional motor oils is less than the mean for synthetic motor oil? Use the 0.02 level of significance. Use P method. List all steps. Interpret results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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An automobile manufacturer wishes to test the claim that synthetic motor oil can improve gas mileage (in 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 25 28 29
control 26 25 24 25 27 25

 

Can you conclude that the mean gas mileage for cars using conventional motor oils is less than the mean for synthetic motor oil? Use the 0.02 level of significance. Use P method. List all steps. Interpret results. 

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