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? Assume that conditions for inference are satisfied. City MPG, Automatic 16.12 3.58 City MPG, Manual 19.85 Mean SD 4.51 26 26 357

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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? Assume that conditions for inference are satisfied.
Mean
SD
City MPG, Automatic
16.12
City MPG, Manual
19.85
4.51
3.58
26
26
357
25
15
automatic.
manual
City MPG
The hypotheses for this test are:
Ho: automatic Pmanual
Ha: Pautomatic Hmanual
Ho: Pautomatic Hmanual
Ha: Pautomatic? Hmanual
Ho: Hautomatic Pmanual
Ha: Pautomatic Pmanual
The test statistic is:
x (please round to two decimal places)
The p-value is:
x (please round to four decimal places)
Internret the result
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? Assume that conditions for inference are satisfied. Mean SD City MPG, Automatic 16.12 City MPG, Manual 19.85 4.51 3.58 26 26 357 25 15 automatic. manual City MPG The hypotheses for this test are: Ho: automatic Pmanual Ha: Pautomatic Hmanual Ho: Pautomatic Hmanual Ha: Pautomatic? Hmanual Ho: Hautomatic Pmanual Ha: Pautomatic Pmanual The test statistic is: x (please round to two decimal places) The p-value is: x (please round to four decimal places) Internret the result
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