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25. A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: compact cars, sedans, and luxury cars. He randomly samples automobiles from each class and records the mileage (in miles per gallon - mpg). At a = 0.05 is there evidence to suggest there is some difference in the mean fuel economy of the vehicle types? Use the Excel output shown below to answer each question. !! One factor ANOVA Mean n Sid. Dev 4.57 Compact 37.3 (a) State the null and alternative hypothe- 35.4 5 6.11 Sedan 2.65 Lunury 6.53 Total 26.0 3 ses. 33.7 12 (b) Indentify the test statistic. ANOVA table Source Treatment df MS F p-value .0375 (c) Identify the p-value. 242.72 2 121.358 4.83 9 25.106 Error Total 225.95 (d) Draw a conclusion about H, and ma- a statement about the claim. 468.67 11 Post hoc analysis p-values for pairwise t-tests Luxury 26.0 (e) What conclusions can we draw from tl post hoc analysis? Sedan Compact 35.4 37.3 Luxury 26.0

25. A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: compact cars, sedans, and luxury cars. He randomly samples automobiles from each class and records the mileage (in miles per gallon - mpg). At a = 0.05 is there evidence to suggest there is some difference in the mean fuel economy of the vehicle types? Use the Excel output shown below to answer each question. !! One factor ANOVA Mean n Sid. Dev 4.57 Compact 37.3 (a) State the null and alternative hypothe- 35.4 5 6.11 Sedan 2.65 Lunury 6.53 Total 26.0 3 ses. 33.7 12 (b) Indentify the test statistic. ANOVA table Source Treatment df MS F p-value .0375 (c) Identify the p-value. 242.72 2 121.358 4.83 9 25.106 Error Total 225.95 (d) Draw a conclusion about H, and ma- a statement about the claim. 468.67 11 Post hoc analysis p-values for pairwise t-tests Luxury 26.0 (e) What conclusions can we draw from tl post hoc analysis? Sedan Compact 35.4 37.3 Luxury 26.0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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25. A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: compact cars, sedans, and luxury cars. He randomly samples automobiles from each class and records the mileage (in miles per gallon - mpg). At a = 0.05 is there evidence to suggest there is some difference in the mean fuel economy of the vehicle types? Use the Excel output shown below to answer each question. One factor ANOVA Mean n Std. Dev 4.57 Compact 37.3 (a) State the null and alternative hypothe- 35.4 6.11 Sedan 26.0 2.65 Luxury ses. 3 33.7 12 6.53 Total (b) Indentify the test statistic. ANOVA table Source F p-value df MS 4.83 (c) Identify the p-value. Treatment 242.72 2 121.358 .0375 Error Total 225.95 468.67 9 25.106 11 (d) Draw a conclusion about H, and make a statement about the claim. Post hoc analysis p-values for pairwise t-tests Luxury 26.0 (e) What conclusions can we draw from the post hoc analysis? Sedan Compact 35.4 37.3 26.0 Luxury Sedan .0302 .0165 35.4 Compact 37.3 5954
Transcribed Image Text:25. A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: compact cars, sedans, and luxury cars. He randomly samples automobiles from each class and records the mileage (in miles per gallon - mpg). At a = 0.05 is there evidence to suggest there is some difference in the mean fuel economy of the vehicle types? Use the Excel output shown below to answer each question. One factor ANOVA Mean n Std. Dev 4.57 Compact 37.3 (a) State the null and alternative hypothe- 35.4 6.11 Sedan 26.0 2.65 Luxury ses. 3 33.7 12 6.53 Total (b) Indentify the test statistic. ANOVA table Source F p-value df MS 4.83 (c) Identify the p-value. Treatment 242.72 2 121.358 .0375 Error Total 225.95 468.67 9 25.106 11 (d) Draw a conclusion about H, and make a statement about the claim. Post hoc analysis p-values for pairwise t-tests Luxury 26.0 (e) What conclusions can we draw from the post hoc analysis? Sedan Compact 35.4 37.3 26.0 Luxury Sedan .0302 .0165 35.4 Compact 37.3 5954
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