Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Two random samples of 25 cars with manual and 25 cars with automatic transmission manufactured in 2021 were selected. Sample means of fuel efficiency (miles per gallon) and sample standard deviations are reported in the table below. Perform and interpret a hypothesis test at the a = .01 significance level to determine if the average fuel efficiency of cars with automatic transmission differs from that of cars with manual transmission. Use cars with automatic transmission as population 1. Group Average fuel efficiency Standard Deviation Sample Size Automatic 17.4 3.44 25 Manual 22.7 4.58 25
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on
cars manufactured in that year. Two random samples of 25 cars with manual and 25 cars
with automatic transmission manufactured in 2021 were selected. Sample means of fuel
efficiency (miles per gallon) and sample standard deviations are reported in the table
below.
Perform and interpret a hypothesis test at the a = .01 significance level to determine if
the average fuel efficiency of cars with automatic transmission differs from that of cars
with manual transmission. Use cars with automatic transmission as population 1.
Group Average fuel efficiency Standard Deviation
Automatic 17.4 3.44 25
Manual 22.7 4.58 25
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