Two-way ANOVA without replication
Martin Motors has in stock 3 cars of the same make and model. The president would like to evaluate the gas consumption of the three cars (labeled car A, car B, and car C) using four dissimilar types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial.
|
Types of Gasoline
|
Distance (miles)
|
|
Car A
|
Car B
|
Car C
|
|
Regular
|
22.4
|
20.8
|
21.5
|
|
Super regular
|
17.0
|
19.4
|
20.7
|
|
Unleaded
|
19.2
|
20.2
|
21.2
|
|
Premium unleaded
|
20.3
|
18.6
|
20.4
|
Using the .05 level of significance:
a. Is there a difference among kinds of gasoline?
b. Is there a difference in the cars?