Question

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	37
Small Car	Conventional	28
Small Car	Hybrid	44
Small Car	Conventional	32
Midsize Car	Hybrid	27
Midsize Car	Conventional	23
Midsize Car	Hybrid	32
Midsize Car	Conventional	25
Small SUV	Hybrid	27
Small SUV	Conventional	21
Small SUV	Hybrid	28
Small SUV	Conventional	22
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 = ____________.

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 = __________.

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 =____________.

Answer 1

Applying two way ANOVA on above data:

Source of Variation	SS	df	MS	F	P-value
factor A	441.25	3	147.08	24.01	0.000
factor B	182.25	1	182.25	29.76	0.001
Interaction	19.25	3	6.42	1.05	0.423
Within	49	8	6.13
Total	691.75	15

value of the test statistic for class =24.01

p-value =0

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

value of the test statistic for type =29.76

p-value =0.001

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

)value of the test statistic for interaction =1.05

p-value = 0.423

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