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Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means? 87 Oetane 31.9 89 Octane 28.e 18.2 29.e 91 Octane Ethanol 5% Ethanol 18% Compact Mid-Size 20.7 27.3 29.3 27.3 18.9 20.4 18.9 Full-Size SUV 28.4 18.1 19.8 30.9 28.e 23.2 15.2 21.4 30.4 Click here for the Excel Data File (a) Choose the correct statement. O Fuel type is the blocking factor and vehicle size is the treatment. O Fuel type is the treatment and vehicle size is the blocking factor. (b) Fill in the boxes. (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.) Two-Factor ANOVA p-value Source df MS Treatments (Fuel Type) Blocks (Vehicle Size) Error Total

Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means? 87 Oetane 31.9 89 Octane 28.e 18.2 29.e 91 Octane Ethanol 5% Ethanol 18% Compact Mid-Size 20.7 27.3 29.3 27.3 18.9 20.4 18.9 Full-Size SUV 28.4 18.1 19.8 30.9 28.e 23.2 15.2 21.4 30.4 Click here for the Excel Data File (a) Choose the correct statement. O Fuel type is the blocking factor and vehicle size is the treatment. O Fuel type is the treatment and vehicle size is the blocking factor. (b) Fill in the boxes. (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.) Two-Factor ANOVA p-value Source df MS Treatments (Fuel Type) Blocks (Vehicle Size) Error Total

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means? | | 87 Octane | 89 Octane | 91 Octane | Ethanol 5% | Ethanol 28% | |----------------|-----------|-----------|-----------|------------|-------------| | Compact | 31.9 | 28.0 | 29.7 | 27.3 | 29.3 | | Mid-Size | 18.9 | 18.2 | 20.4 | 18.9 | 27.3 | | Full-Size | 23.4 | 22.9 | 19.8 | 30.9 | 28.0 | | SUV | 18.1 | 23.2 | 15.2 | 21.4 | 30.4 | [Click here for the Excel Data File] (a) Choose the correct statement. - ☐ Fuel type is the blocking factor and vehicle size is the treatment. - ☐ Fuel type is the treatment and vehicle size is the blocking factor. (b) Fill in the boxes. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.) | Source | SS | df | MS | F | p-value | |---------------------|------|----|-----|----|---------| | Treatments (Fuel Type) | | | | | | | Blocks (Vehicle Size) | | | | | | | Error | | | | | | | Total | | | | | |
Transcribed Image Text:Engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. One vehicle of each size is tested. Does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means? | | 87 Octane | 89 Octane | 91 Octane | Ethanol 5% | Ethanol 28% | |----------------|-----------|-----------|-----------|------------|-------------| | Compact | 31.9 | 28.0 | 29.7 | 27.3 | 29.3 | | Mid-Size | 18.9 | 18.2 | 20.4 | 18.9 | 27.3 | | Full-Size | 23.4 | 22.9 | 19.8 | 30.9 | 28.0 | | SUV | 18.1 | 23.2 | 15.2 | 21.4 | 30.4 | [Click here for the Excel Data File] (a) Choose the correct statement. - ☐ Fuel type is the blocking factor and vehicle size is the treatment. - ☐ Fuel type is the treatment and vehicle size is the blocking factor. (b) Fill in the boxes. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.) | Source | SS | df | MS | F | p-value | |---------------------|------|----|-----|----|---------| | Treatments (Fuel Type) | | | | | | | Blocks (Vehicle Size) | | | | | | | Error | | | | | | | Total | | | | | |
**Data Table: Summary of Fuel Types and Vehicle Sizes** This table presents data on various fuel types and vehicle sizes, including statistics such as the mean, sample size (\(n\)), and standard deviation for each category. The specific numbers are not provided in the table displayed. **Categories:** - Fuel Types: 87 Octane, 89 Octane, 91 Octane, Ethanol 5%, Ethanol 10% - Vehicle Sizes: Compact, Mid-Size, Full-Size, SUV - Total **Questions:** **(c)** Choose the correct statement. Use \(\alpha = 0.05\). - \( \square \) Fuel type means differ significantly and vehicle size is also a significant factor. - \( \square \) Fuel type means do not differ significantly, but vehicle size is a significant factor. - \( \square \) Fuel type means differ significantly, but vehicle size is not a significant factor. - \( \square \) Fuel type means do not differ significantly and vehicle size is not a significant factor. **(d)** Which fuel types show a significant difference in average fuel economy? Use \(\alpha = 0.05\). (You may select more than one answer. Click the box with a check mark for the correct answer and click to empty the box for the wrong answer.) - \( \square \) Ethanol 10% and 87 Octane - \( \square \) Ethanol 5% and 89 Octane - \( \square \) 87 Octane and 91 Octane - \( \square \) Ethanol 10% and 91 Octane Please note: There are no specific values provided for mean, sample size, or standard deviation in the image displayed.
Transcribed Image Text:**Data Table: Summary of Fuel Types and Vehicle Sizes** This table presents data on various fuel types and vehicle sizes, including statistics such as the mean, sample size (\(n\)), and standard deviation for each category. The specific numbers are not provided in the table displayed. **Categories:** - Fuel Types: 87 Octane, 89 Octane, 91 Octane, Ethanol 5%, Ethanol 10% - Vehicle Sizes: Compact, Mid-Size, Full-Size, SUV - Total **Questions:** **(c)** Choose the correct statement. Use \(\alpha = 0.05\). - \( \square \) Fuel type means differ significantly and vehicle size is also a significant factor. - \( \square \) Fuel type means do not differ significantly, but vehicle size is a significant factor. - \( \square \) Fuel type means differ significantly, but vehicle size is not a significant factor. - \( \square \) Fuel type means do not differ significantly and vehicle size is not a significant factor. **(d)** Which fuel types show a significant difference in average fuel economy? Use \(\alpha = 0.05\). (You may select more than one answer. Click the box with a check mark for the correct answer and click to empty the box for the wrong answer.) - \( \square \) Ethanol 10% and 87 Octane - \( \square \) Ethanol 5% and 89 Octane - \( \square \) 87 Octane and 91 Octane - \( \square \) Ethanol 10% and 91 Octane Please note: There are no specific values provided for mean, sample size, or standard deviation in the image displayed.
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