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In: Statistics and Probability

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

As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles (SUVs). The following data show the miles-per-gallon rating Consumer Reports 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.

Make/Model Class Type MPG
Honda Civic Small Car Hybrid 37
Honda Civic Small Car Conventional 28
Toyota Prius Small Car Hybrid 44
Toyota Corolla Small Car Conventional 32
Chevrolet Malibu Midsize Car Hybrid 27
Chevrolet Malibu Midsize Car Conventional 23
Nissan Altima Midsize Car Hybrid 32
Nissan Altima Midsize Car Conventional 25
Ford Escape Small SUV Hybrid 27
Ford Escape Small SUV Conventional 21
Saturn Vue Small SUV Hybrid 28
Saturn Vue Small SUV Conventional 22
Lexus RX Midsize SUV Hybrid 23
Lexus RX Midsize SUV Conventional 19
Toyota Highlander Midsize SUV Hybrid 24
Toyota Highlander 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.)

State your conclusion about class.

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

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

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

D) 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.)

State your conclusion about type.

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

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

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

D) 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.)

State your conclusion about interaction between class and type.

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

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

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

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

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