In: Statistics and Probability
A fuel consumption study is conducted for two types of automobiles. One representative vehicle of each type is selected, and the mileage performance is observed for 10 tanks of fuel in each car. The data obtained, expressed in miles per gallon (mpg), are as follows:
Car 1: 24.7 24.9 24.8 24.6 24.9 23.9 24.7 24.9 24.5 24.6
Car 2: 41.7 42.8 42.3 42.4 41.6 39.9 39.5 40.8 41.9 39.6
a) Using the appropriate distribution model and a 95% confidence interval, is there evidence to support the claim that the variability in mileage performance is greater for Car 2 than for Car 1?
b) Solve this problem again using the related hypothesis-testing procedure.
a)
Confidence interval doesn't contain zero therefore claim is true that the variability in mileage performance is greater for Car 2 than for Car 1?
b)