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As part of a study designed to compare hybrid and similarly equipped conventional vehicles, a group...

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 38
Small Car Conventional 27
Small Car Hybrid 45
Small Car Conventional 31
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 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.

a) 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 =

b) 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 =

c) 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 =

Math   Statistics-And-Probability   
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Answer #1
from excel: data-data analysis: 2 way ANOVA with replication
Source of Variation SS df MS F P-value
class 441.25 3 147.08 24.01 0.000
type 182.25 1 182.25 29.76 0.001
Interaction 47.25 3 15.75 2.57 0.127
Within 49 8 6.13
Total 719.75 15

a)

value of the test statistic for class =24.01

p-value for class =0.000

b)

value of the test statistic for type =29.76

p-value for type =0.001

c)

value of the test statistic for interaction =2.57

p-value for interaction between class and type =0.127

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