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 convention

Class	Type	MPG
Small Car	Hybrid	37
Small Car	Conventional	28
Small Car	Hybrid	44
Small Car	Conventional	32
Midsize Car	Hybrid	26
Midsize Car	Conventional	24
Midsize Car	Hybrid	31
Midsize Car	Conventional	26
Small SUV	Hybrid	27
Small SUV	Conventional	21
Small SUV	Hybrid	28
Small SUV	Conventional	22
Midsize SUV	Hybrid	24
Midsize SUV	Conventional	18
Midsize SUV	Hybrid	25
Midsize SUV	Conventional	17

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

2. p value (round three decimals)=

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

4.pvalue (round three decimals) =

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

6. pvalue n(three decimal places)=

Answer 1

applying ANOVA

Source of Variation	SS	df	MS	F	P-value
type	182.25	1	182.25	29.76	0.001
class	441.25	3	147.08	24.01	0.000
Interaction	25.25	3	8.42	1.37	0.319
Within	49	8	6.13
Total	697.75	15

1)

value of test statistic for class =24.01

p value =0.000

because the p value <0.05 , class is significant

3)

value of test statistic for type =29.76

p value =0.001

because the p value <0.05 , type is significant

5)

value of test statistic for interaction =1.37

p value =0.319

because the p value >0.05 , interaction is not significant