Question 1074970: The average mpg usage for a 2009 Toyoya Prius for a sample of
10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2009
Honda Insight, the average mpg usage for a sample of 10 tanks of gas was
42.0 with a standard deviation of 2.3. Assuming equal variances, at
α = 0.01, is the true mean mpg lower for the Honda Insight?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho means equal, subtract insight from Prius and get 0 or something smaller
Ha means not equal, subtract insight from Prius and get something larger than 0
alpha=0.01
test statistic is t df=18 0.99, one-way test
critical value t> 2.552
t=(x1bar-x2bar)/sqrt (s1^2/n1)+(s2^2/n2))
=3.5/sqrt (0.324+0.529); sqrt (0.863)=0.929
=3.77 reject Ho, there is a difference at the 0.01 level
p=0.0007
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