need p-value 5.32 Fuel efficiency of manual and automatic cars, Part I: Each yea
ID: 2936676 • Letter: N
Question
need p-value
5.32 Fuel efficiency of manual and automatic cars, Part I: 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 effic mileage? Assume that conditions for inference are satisfied. iency of cars with manual and automatic in terms of their average city Citv MPG, AutomaticCitv MPG, Manual 19.85 4.51 26 16.12 3.58 26 vlean SD 35 25 15 automatic manual City MPG The hypotheses for this test are: Ho: automatic-Lmanual Ha: automatic > |manual Ha: automaticmanual Ho: automatic-Lmanual Ha: Hautomatic Hmanual The test statistic is: -3.30 The p-value is: 001771(please round to four decimal places) Interpret the result of the hypothesis test in the context of the problem: (please round to two decimal places)Explanation / Answer
As this is a two sided test, for n1 + n2 - 2 = 50 degrees of freedom, we get from the t-distribution tables that:
p= 2P(t50 < -3.30 ) = 2*0.0009 = 0.0018
Therefore 0.0018 is the required p-value here
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