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

ID: 3320571 • Letter: T

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)

Based upon your statistical results, you have determined the correct decision is:

the test statistic is more than the p value, therefore do not reject the null.

the test statistic is less than the critical value, therefore you would reject the null

the p value is less than the designated alpha, therefore you would reject the null

the pvalue is less than the critical value, therefore, reject the null.

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

Since p - value is less than 0.05, we reject the null hypothesis.

Hence,

Option C 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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