Question

# 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 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 =____________.

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.

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