Question

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As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). Suppose the following data show the miles-per-gallon rating obtained for two hybrid small cars, two hybrid midsize cars, two hybrid small SUVs, and two hybrid midsize SUVs; also shown are the miles per gallon obtained for eight similarly equipped conventional models.

Class	Type	MPG
Small Car	Hybrid	36
Small Car	Conventional	29
Small Car	Hybrid	43
Small Car	Conventional	33
Midsize Car	Hybrid	27
Midsize Car	Conventional	23
Midsize Car	Hybrid	32
Midsize Car	Conventional	25
Small SUV	Hybrid	28
Small SUV	Conventional	20
Small SUV	Hybrid	29
Small SUV	Conventional	21
Midsize SUV	Hybrid	23
Midsize SUV	Conventional	19
Midsize SUV	Hybrid	24
Midsize SUV	Conventional	18

At the α = 0.05 level of significance, test for significant effects due to class, type, and interaction.

Find the value of the test statistic for class. (Round your answer to two decimal places.)

Find the p-value for class. (Round your answer to three decimal places.)

p-value =

State your conclusion about class.

Because the p-value ≤ α = 0.05, class is not significant.

Because the p-value > α = 0.05, class is significant.    

Because the p-value > α = 0.05, class is not significant.

Because the p-value ≤ α = 0.05, class is significant.

Find the value of the test statistic for type. (Round your answer to two decimal places.)

Find the p-value for type. (Round your answer to three decimal places.)

p-value =

State your conclusion about type.

Because the p-value ≤ α = 0.05, type is not significant.

Because the p-value ≤ α = 0.05, type is significant.    

Because the p-value > α = 0.05, type is not significant.

Because the p-value > α = 0.05, type is significant.

Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.)

Find the p-value for interaction between class and type. (Round your answer to three decimal places.)

p-value =

State your conclusion about interaction between class and type.

Because the p-value ≤ α = 0.05, interaction between class and type is significant.

Because the p-value > α = 0.05, interaction between class and type is not significant.

Because the p-value ≤ α = 0.05, interaction between class and type is not significant.

Because the p-value > α = 0.05, interaction between class and type is significant.

Answer 1

Find the value of the test statistic for class. (Round your answer to two decimal places.)

24.01

Find the p-value for class. (Round your answer to three decimal places.)

p-value = 0.000

State your conclusion about class.

Because the p-value ≤ α = 0.05, class is significant.

Find the value of the test statistic for type. (Round your answer to two decimal places.)

29.76

Find the p-value for type. (Round your answer to three decimal places.)

p-value = 0.001

State your conclusion about type.

Because the p-value ≤ α = 0.05, type is significant.    

Find the value of the test statistic for interaction between class and type. (Round your answer to two decimal places.)

0.50

Find the p-value for interaction between class and type. (Round your answer to three decimal places.)

p-value = 0.691

State your conclusion about interaction between class and type.

Because the p-value > α = 0.05, interaction between class and type is not significant.

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Class	3	441.250	147.083	24.01	0.000
Type	1	182.250	182.250	29.76	0.001
Class*Type	3	9.250	3.083	0.50	0.691
Error	8	49.000	6.125
Total	15	681.750

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