Three new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of all three models to see if they are the same. A partial computer output for twelve compact SUVs of each model is given below: You are told that the gas mileage population distributions for all three models are not normally distributed. What is your conclusion on the test using a 5% level of significance? There is not enough evidence of a difference in mean gas mileage. There is evidence of a difference in mean gas mileage. There is not enough evidence of a difference in median gas mileage. There is evidence of a difference in median gas mileage. Kruskal-Wallis Rank Test for Differences in MediansDataGroup Sample Size Sumof Ranks Mean Ranks Square of sumofranks15.458333Level of Significance0.05112185.534410.25114.513110.259.541666730.5Intemediate Calculations12Sumof Squared Ranks/Sample SizeSumof Sampe SizesNumber of Grops15123.0412366133956363

Solution: Given information: k= 3 groups Each group has 12 observation. n = 36 total observation.…

Answered: Three new different models of compact…

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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Three new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of all three models to see if they are the same. A partial computer output for twelve compact SUVs of each model is given below:

You are told that the gas mileage population distributions for all three models are not normally distributed.

What is your conclusion on the test using a 5% level of significance?

		There is not enough evidence of a difference in mean gas mileage.
		There is evidence of a difference in mean gas mileage.
		There is not enough evidence of a difference in median gas mileage.
		There is evidence of a difference in median gas mileage.

Kruskal-Wallis Rank Test for Differences in Medians
Data
Group Sample Size Sumof Ranks Mean Ranks Square of sumofranks
15.458333
Level of Significance
0.05
1
12
185.5
34410.25
114.5
13110.25
9.5416667
30.5
Intemediate Calculations
12
Sumof Squared Ranks/Sample Size
Sumof Sampe Sizes
Number of Grops
15123.04
12
366
133956
36
3

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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