As part of a study designed to compare hybrid and similarly equipped conventional vehides, a group tested a variety of classes of hybrid and all-gas model cars and sport utility vehides (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 Can Hybrid 37 Small Car Conventional 28 Small Car Hybrid 44 Small Car Conventional 32 Midsize Car Hybrid 28 Midsize Car Conventional 22 Midsize Car Hybrid 33 Midsize Car Conventional 24 Small SUV Hybrid 27 Small SUV Conventional 21 Small SUV Hybrid 28 Small SUV Conventional 22 Midsize SUV Hybrid 22 Midsize SUV Conventional 20 Midsize SUV Hybrid 23 Midsize SUV Conventional 19 At the e- 0.05 level of significance, test for significant effects due to dass, type, and interaction.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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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
28
Midsize Car
Conventional
22
Midsize Car
Hybrid
33
Midsize Car
Conventional
24
Small SUV
Hybrid
27
Small SUV
Conventional
21
Small SUV
Hybrid
28
Small SUV
Conventional
22
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.
O Because the p-value s a = 0.05, class is not significant.
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 > a = 0.05, class is not significant.
Find the value of the test statistic for type. (Round your answer to two decimal places.)
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 28 Midsize Car Conventional 22 Midsize Car Hybrid 33 Midsize Car Conventional 24 Small SUV Hybrid 27 Small SUV Conventional 21 Small SUV Hybrid 28 Small SUV Conventional 22 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. O Because the p-value s a = 0.05, class is not significant. 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 > a = 0.05, class is not significant. Find the value of the test statistic for type. (Round your answer to two decimal places.)
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 s a = 0.05, class is not significant.
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 > 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 significant.
O Because the p-value > a = 0.05, type is not significant.
O Because the p-value s a = 0.05, type is significant.
O Because the p-value s a = 0.05, type is not 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 s 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 not significant.
O Because the p-value > a = 0.05, interaction between class and type is significant.
O Because the p-value > a = 0.05, interaction between class and type is not significant.
Transcribed Image Text: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 s a = 0.05, class is not significant. 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 > 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 significant. O Because the p-value > a = 0.05, type is not significant. O Because the p-value s a = 0.05, type is significant. O Because the p-value s a = 0.05, type is not 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 s 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 not significant. O Because the p-value > a = 0.05, interaction between class and type is significant. O Because the p-value > a = 0.05, interaction between class and type is not significant.
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