Question

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?

Data:

Type A: 5.9,6.4,6.3,7.2,6.2,6.3,5.8,6.6,7.2,6.3

Type B: 8.4, 7.9, 8.4, 9.2, 8.9, 8.7, 9.1, 8.8

Type C: 9.4, 8.8, 7.9, 9.7, 9.7, 8.2, 8.2, 8.7, 8.4

What are the hypotheses for the test and are any means different from the others?

What is the test statistic?

What is the p value?

What is the conclusion of this test (do we reject or fail to reject the null hypothesis, and does the vehicle affect greenhouse emissions for three types)

Answer 1

H0- mu1=mu2=mu3

Ha- atleast one mean is different from others

F value= 59.75

P value= 0.00

Since pvalue less than alpha(0.025) , we reject the null hypothesis. We can conclude that there is sufficient evidence that the vehicle affect greenhouse emissions for 3 types.