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 tw 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 38 Small Car Conventional 27 Small Car Hybrid 45 Small Car Conventional 31 Midsize Car Hybrid 27 Midsize Car Conventional 23 Midsize Car Hybrid 32 Midsize Car Conventional 25 Small Suv Hybrid 26 Small SUV Conventional 22 Small SUV Hybrid 27 Small Suv Conventional 23 Midsize SUV Hybrid 23 Midsize SUV Conventional 19 Midsize SUV Hybrid 24 Midsize Suv Conventional 18 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. O Because the p-value > a= 0.05, class is significant. O Because the p-value sa 0.05, class is significant. O Because the p-value sa = 0.05, class is not significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Find the p-value for class. (Round your answer to three decimal places.)
p-value =
State your conclusion about class.
O Because the p-value > a = 0.05, class is significant.
O Because the p-value s a = 0.05, class is significant.
O Because the p-value s a = 0.05, class is not significant.
O Because the p-value > 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.
O Because the p-value > a = 0.05, type is not significant.
O Because the p-value s a = 0.05, type is not significant.
O Because the p-value > a = 0.05, type is significant.
O Because the p-value s 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.
O Because the p-value < a = 0.05, interaction between class and type is not significant.
O Because the p-value > a = 0.05, interaction between class and type is not significant.
O Because the p-value > a = 0.05, interaction between class and type is significant.
O Because the p-value s a = 0.05, interaction between class and type is significant.
Transcribed Image Text:Find the p-value for class. (Round your answer to three decimal places.) p-value = State your conclusion about class. O Because the p-value > a = 0.05, class is significant. O Because the p-value s a = 0.05, class is significant. O Because the p-value s a = 0.05, class is not significant. O Because the p-value > 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. O Because the p-value > a = 0.05, type is not significant. O Because the p-value s a = 0.05, type is not significant. O Because the p-value > a = 0.05, type is significant. O Because the p-value s 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. O Because the p-value < a = 0.05, interaction between class and type is not significant. O Because the p-value > a = 0.05, interaction between class and type is not significant. O Because the p-value > a = 0.05, interaction between class and type is significant. O Because the p-value s a = 0.05, interaction between class and type is significant.
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
38
Small Car
Conventional
27
Small Car
Hybrid
45
Small Car
Conventional
31
Midsize Car
Hybrid
27
Midsize Car
Conventional
23
Midsize Car
Hybrid
32
Midsize Car
Conventional
25
Small SUV
Hybrid
26
Small SUV
Conventional
22
Small SUV
Hybrid
27
Small SUV
Conventional
23
Midsize SUV
Hybrid
23
Midsize SUV
Conventional
19
Midsize SUV
Hybrid
24
Midsize SUV
Conventional
18
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.
O Because the p-value > a = 0.05, class is significant.
O Because the p-value < a = 0.05, class is significant.
O Because the p-value s a = 0.05, class is not significant.
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 38 Small Car Conventional 27 Small Car Hybrid 45 Small Car Conventional 31 Midsize Car Hybrid 27 Midsize Car Conventional 23 Midsize Car Hybrid 32 Midsize Car Conventional 25 Small SUV Hybrid 26 Small SUV Conventional 22 Small SUV Hybrid 27 Small SUV Conventional 23 Midsize SUV Hybrid 23 Midsize SUV Conventional 19 Midsize SUV Hybrid 24 Midsize SUV Conventional 18 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. O Because the p-value > a = 0.05, class is significant. O Because the p-value < a = 0.05, class is significant. O Because the p-value s a = 0.05, class is not significant.
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