Question

Ford has developed a new hybrid car called the Fractal. 31 Fractal cars and 29 competitors cars were road tested to compare miles-per-gallon (mpg) performance. The sample statistics are shown in the table below:

	Sample 1	Sample 2 (competitor)
Sample Size	31	29
Sample Mean	33.0 mpg	28.0mpg
Sample Standard Dev.	2.0 mpg	2.5 mpg

Can we conclude, using a 5% level of significance, that the miles-per-gallon (mpg) performance of Fractal cars is greater than the miles-per-gallon performance of the competitor's cars?Give the calculated test statistic you would come up with in step 5 of the hypothesis testing process. Give answer to 3 decimal places.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = 8.518

Test Criteria :-
Reject null hypothesis if

DF = 53

Result :- Reject Null Hypothesis

There is sufficient evidence to support the claim that the miles-per-gallon (mpg) performance of Fractal cars is greater than the miles-per-gallon performance of the competitor's cars at 5% level of significance.