Question

Suppose Ford is planning to produce two new types of SUVs, the “Grand Canyon” and the “Everest.” They want to know the fuel efficiency of these two new SUVs, so they test 29 Grand Canyons and 25 Everests. They find that the mean fuel efficiency for the Grand Canyon is 11.1 mpg with a standard deviation of 2.77 mpg, and the mean fuel efficiency of the Everest is 13.2 mpg with a standard deviation of 3.44 mpg. Perform a significance test at α = 0.05 to determine if the mean gas mileage is significantly different between the two SUVs.

a) What are the hypotheses for this test?

b) The value of the numerator of t_T =

c) The value of the denominator of t_T =

d) Final value of t_T =

e) The degrees of freedom (df) for this problem =

f) Value of t* =

g) What comparison do you WANT between t_T and t*?

h) What does the comparison between t_T and t* ACTUALLY look like?

i) Write your conclusion for this test:

Answer 1