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 City MPG, Manual Mean 16.12 19.85 SD 3.58 4.51 26 26 35 25- 15- automatic manual City MPG The hypotheses for this test are: O Ho: Pautomatic = Pmanual Ha: Pautomatic < Pmanual O Ho: Pautomatic = Pmanual Ha: Pautomatic > Pmanual Ho: Pautomatic = Pmanual Ha: Pautomatic * Pmanual The test statistic is: (please round to two decimal places) The p-value is: (please round to four decimal places) Interpret the result of the hypothesis test in the context of the problem: O The data do not provide sufficient evidence that there is a difference between the average fuel efficiency of manual and automatic cars in terms of their average city mileage

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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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.
City MPG, Automatic City MPG, Manual
Mean
16.12
19.85
SD
3.58
4.51
n
26
26
35
25-
15
automatic
manual
City MPG
The hypotheses for this test are:
O Ho: Pautomatic = Pmanual
Ha: Pautomatic < Pmanual
%3D
O Ho: Pautomatic = Pmanual
Ha: Pautomatic > Pmanual
O Ho: Hautomatic = Hmanual
Ha: Pautomatic * Hmanual
The test statistic is:
(please round to two decimal places)
The p-value is:
(please round to four decimal places)
Interpret the result of the hypothesis test in the context of the problem:
O The data do not provide sufficient evidence that there is a difference between
the average fuel efficiency of manual and automatic cars in terms of their
average city mileage
MacBook Pro
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. City MPG, Automatic City MPG, Manual Mean 16.12 19.85 SD 3.58 4.51 n 26 26 35 25- 15 automatic manual City MPG The hypotheses for this test are: O Ho: Pautomatic = Pmanual Ha: Pautomatic < Pmanual %3D O Ho: Pautomatic = Pmanual Ha: Pautomatic > Pmanual O Ho: Hautomatic = Hmanual Ha: Pautomatic * Hmanual The test statistic is: (please round to two decimal places) The p-value is: (please round to four decimal places) Interpret the result of the hypothesis test in the context of the problem: O The data do not provide sufficient evidence that there is a difference between the average fuel efficiency of manual and automatic cars in terms of their average city mileage MacBook Pro
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