Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Use a 0.05 significance level. (a) Find the test statistic. n ក 8² 3 Automatic (1) 26 15.41 12.5316 3.54 Manual (2) 26 20.48 19.7136 4.44 degrees of freedom: d.f. = 48 (b) Find the positive critical value. (c) Find the negative critical value.

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Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars
manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from
random samples of cars with manual and automatic transmissions manufactured in 2012. Do these
data provide strong evidence of a difference between the average fuel efficiency of cars with manual
and automatic transmissions in terms of their average city mileage? Use a 0.05 significance level.
(a) Find the test statistic.
₂2
n
8
Automatic (1) 26 15.41 12.5316 3.54
Manual (2) 26 20.48 19.7136 4.44
degrees of freedom: d.f. = 48
(b) Find the positive critical value.
(c) Find the negative critical value.
Transcribed Image Text:Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Use a 0.05 significance level. (a) Find the test statistic. ₂2 n 8 Automatic (1) 26 15.41 12.5316 3.54 Manual (2) 26 20.48 19.7136 4.44 degrees of freedom: d.f. = 48 (b) Find the positive critical value. (c) Find the negative critical value.
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