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 Туре 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 28 Small SUV Conventional 20 Small SUV Hybrid 29 Small SUV Conventional 21 Midsize SUV Hybrid 22 Midsize SUv Conventional 20 Midsize SUV Hybrid 23 Midsize SUV Conventional 19

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 80E
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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
Туре
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
28
Small SUV
Conventional
20
Small SUV
Hybrid
29
Small SUV
Conventional
21
Midsize SUV
Hybrid
22
Midsize SUV
Conventional
20
Midsize SUV
Hybrid
23
Midsize SUV
Conventional
19
At the a = 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 =
Transcribed Image Text: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 Туре 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 28 Small SUV Conventional 20 Small SUV Hybrid 29 Small SUV Conventional 21 Midsize SUV Hybrid 22 Midsize SUV Conventional 20 Midsize SUV Hybrid 23 Midsize SUV Conventional 19 At the a = 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 =
State your conclusion about class.
Because the p-value > a = 0.05, class is not significant.
Because the p-value > a = 0.05, class is significant.
Because the p-value s a = 0.05, class is significant.
Because the p-value s a = 0.05, class is not 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.)
p-value =
State your conclusion about type.
Because the p-value s a = 0.05, type is significant.
Because the p-value > a = 0.05, type is not significant.
Because the p-value s a = 0.05, type is not significant.
Because the p-value > a = 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.)
p-value =
State your conclusion about interaction between class and type.
Because the p-value s a = 0.05, interaction between class and type is not significant.
Because the p-value > a = 0.05, interaction between class and type is not significant.
Because the p-value s a = 0.05, interaction between class and type is significant.
Because the p-value > a = 0.05, interaction between class and type is significant.
Transcribed Image Text:State your conclusion about class. Because the p-value > a = 0.05, class is not significant. Because the p-value > a = 0.05, class is significant. Because the p-value s a = 0.05, class is significant. Because the p-value s a = 0.05, class is not 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.) p-value = State your conclusion about type. Because the p-value s a = 0.05, type is significant. Because the p-value > a = 0.05, type is not significant. Because the p-value s a = 0.05, type is not significant. Because the p-value > a = 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.) p-value = State your conclusion about interaction between class and type. Because the p-value s a = 0.05, interaction between class and type is not significant. Because the p-value > a = 0.05, interaction between class and type is not significant. Because the p-value s a = 0.05, interaction between class and type is significant. Because the p-value > a = 0.05, interaction between class and type is significant.
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