The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per​ year, expressed as CO2 equivalents. Use a 0.025 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the​ results, does the type of vehicle appear to affect the amount of greenhouse gas​ emissions?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per​ year, expressed as CO2 equivalents. Use a

0.025

significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the​ results, does the type of vehicle appear to affect the amount of greenhouse gas​ emissions?

 

Type A
Type B
Type C
8.5
8.5
8.7
9.5
8.6
7.9
9.4
8.4
8.1
8.7
9.4
8.6
8.4
8.4
7.7
7.8
8.7
7.6
9.2
8.8
9.6
7.9
9.5
8.8
8.5
 
8.3
7.7
 
 
 
 
What are the hypotheses for this​ test?
 
 
A.
H0​:
μ1=μ2=μ3
H1​:
μ1≠μ2≠μ3
 
B.
H0​:
At least one of the means is different from the others.
H1​:
μ1=μ2=μ3
 
C.
H0​:
μ1≠μ2≠μ3
H1​:
μ1=μ2=μ3
 
D.
H0​:
μ1=μ2=μ3
H1​:
At least one of the means is different from the others.
 
Determine the test statistic.
 
F=______
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
 
​P-value=_______
​(Round to two decimal places as​ needed.)
 
 
What is the conclusion of the​ test?
 
 
Reject
Do not reject
the null hypothesis. Conclude that the type of vehicle
 
does
does not
appear to affect the amount of greenhouse gas emissions for these three types.

 

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