Three different transmission types are installed on different cars, all having 6

Question

Three different transmission types are installed on different cars, all having 6 cylinder engines and an engine size of 3 liters. The fuel consumption (miles per gallon) is found for highway conditions with the results given below in the table. The column titles of A, M, L represent automatic, manual and lockup torque converter, respectively.

A

M

L

23

27

24

23

29

26

20

25

24

21

23

24

At the 0.05 significance level, test the claim that the mean fuel consumption values are the same for all three transmission types. (Note: you can copy and paste the data into your Excel worksheet)

There are two sources of variation in Anova; From your results, the amount of "explained variation" would be:

approx 34.3

approx 32.6

approx 66.9

none of the above

A

M

L

23

27

24

23

29

26

20

25

24

21

23

24

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Explained variation = 34.3 / 66.917 = 0.513 i.e. 51.3 approx

Hence,

Option D is correct.

Column n Mean Std. Dev. Std. Error A 4 21.75 1.5 0.75 M 5 25.6 2.4083189 1.077033 L 3 24.666667 1.1547005 0.66666667

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