Rank Correlation for Car Fuel Consumption
Not what you're looking for?
Car Fuel Consumption
Listed below are the highway fuel consumption amounts (in mi/gal) from cars in three different categories. Use a 0.05 signifiacance level to test the claim that the different car categories have the same median highway fuel consumption. Based on the results, does the number of cylinders appear to affect highway fuel consumption?
Four cylinder
31 30 32 30 32 34 32 34 32 29 32 38 31
Six cylinder
26 29 29 27 27 25 25 30 37 32 31 27
Eight cylinder
25 25 25 27 25 25 25
(i) Test statistic H =
(ii) Critical value Χ^2 =
(iii) Conclusion on H0:
(iv) Interpret the results according to the problem.
Purchase this Solution
Solution Summary
The expert examines Rank correlation for Car Fuel Consumption.
Solution Preview
Step by Step Solution
We use Kruskal-Wallis test to test the following hypothesis.
Null Hypothesis :
H0 : Different car categories have the same median high way fuel consumption.
Alternative Hypothesis:
Ha : At least one of the car categories have different median high way fuel consumption.
Following table shows the given fuel consumption values of the three categories including the combined rank for each value.
S.No. Four Cylinder Six Cylinder Eight Cylinder
mi./gal Rank mi./gal Rank mi./gal Rank
1 31 21 26 9 25 4.5
2 30 18 29 15 25 4.5
3 32 25.5 29 15 25 4.5
4 30 18 27 11.5 27 11.5
5 32 25.5 27 11.5 25 4.5
6 34 29.5 25 4.5 25 4.5
7 32 25.5 25 4.5 25 4.5
8 34 29.5 30 18
9 32 25.5 37 31
10 29 15 32 25.5
11 32 25.5 31 21
12 38 32 27 11.5
13 31 21
Total R1 = 311.5 R2 = 178 R3 = 38.5
Average 23.96 14.83 5.50
We see that the ...
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.