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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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
Transcribed Image Text: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
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