n order to estimate the difference between the average Miles per Gallon of two different models

Question

of
cars
, samples are taken and the following information is collected.
Model
A
Model
B
Sample Size
13
14
Sample Mean
35
32
Sample Variance
13
7
a)
Find a
95% confidence
interval
for the difference between the average
Miles per Gallon for the two models.
b)
From your answer in Part a)
, i
s there conclusive evidence that one model
gets a
significantly
higher
average
MPG than the other? Why or why not? Explain