(c) Formulate appropriate hypotheses to test if the average fuel consumption dif
ID: 3054195 • Letter: #
Question
(c) Formulate appropriate hypotheses to test if the average fuel consumption differs due to the type of mixture used.
(d) Perform an appropriate parametric test of the above hypotheses.
(e) Perform an appropriate non-parametric test to analyze the above data. Explain when it is appropriate and what hypotheses it tests.
The fuel consumption of a motor vehicle is measured under controlled conditions. For three different types of mixtures (A, B, C) of fuel the results in km/ltr are A: 10 13 14 11 12 18 14 B: 15 14 16 18 18 17 19 16 19 18 15 17 C: 10 13 11 10 13 12 11 15 10Explanation / Answer
Hypothesis: H0: There in no any significant difference between 3 types of fuel mixture.
i.e. average fuel comsumption does not differs by fuel mixture type
H1: There in n significant difference between 3 types of fuel mixture.
i.e. average fuel comsumption differs by fuel mixture type.
One Way ANOVA:
From above table, the p-value for between groups is 7.39E-06 <0.05 so we reject H0
conclude that average fuel comsumption differs by fuel mixture type.
e: If the assumptions of one-way ANOVA test are not met then Kruskal-Wallis test is used. V by rank is a non-parametric alternative to one-way ANOVA test,
Null Hypothesis: Fuel consumption by 3 types of mixture is identical.
Kruskal-Wallis rank sum test
data: Y by Fuel_type
Kruskal-Wallis chi-squared = 16.526, df = 2, p-value = 0.0002578
from p-value we reject null hypothesis at 5% level of significance.
Source of Variation SS df MS F P-value F crit Between Groups 148.7262 2 74.3631 19.66782 7.39E-06 3.38519 Within Groups 94.52381 25 3.780952 Total 243.25 27Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.