Martin Motors has in stock three cars of the same make and m

Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different 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.

Distance (miles)

Types of Gasoline

Car A

Car B

Car C

Regular

22.4

20.8

21.5

Super regular

17

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 types of gasoline?

b) Is there a difference in the cars?

Solution

Consider the table of summary of results:

a)

Here, as P = 0.165875522, then at 0.05 level, there is no significant difference between types of gasoline, as P > 0.05.

******************************************************************************************************

b)

Here, as we can see, P = 0.42397161, then at 0.05 level, there is no significant difference between cars, as P > 0.05.