Homework SourseThe data found below measure the amounts of greenhouse gas e
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 0.05 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 gasemissions?
What are the hypotheses for this test?
A. H0: 1 = 2 = 3
H1: 1 2 3
B. H0: 1 = 2 = 3
H1: At least one of the means is different from the others.
C. H0: 1 2 3
H1: 1 = 2 = 3
D. H0: At least one of the means is different from the others.
H1: 1 = 2 = u3
Determine the test statistic.
F = ________
What is the critical F value?
F = _________
Identify the P-value.
P-value = __________
What is the conclusion of the test?
_________ the null hypothesis. Conclude that the type of vehicle ______________ appear to affect the amount of greenhouse gas emissions for these three types.
| Type A | Type B | Type C |
| 7.6 | 6.2 | 6.4 |
| 6.1 | 7.6 | 7.5 |
| 6.1 | 6.7 | 7.4 |
| 6.7 | 7.5 | 6.6 |
| 7.4 | 7.7 | 6.1 |
| 7.4 | 7.5 | 7.5 |
| 5.9 | 5.8 | 6.6 |
| 5.9 | 6.8 | 6.3 |
| 6.2 | 7.3 | |
| 7.4 |
Solution
B. H0: 1 = 2 = 3
H1: At least one of the means is different from the others.
F=0.48
p =0.6246
As p>0.05, accept null hypothesis.
| ANOVA Summary | |||||
| Source | SS | df | MS | F | P |
| Treatment [between groups] | 0.4284 2 0.2142 | 0.48 0.6246 | |||
| Error 10.6182 24 0.4424 |
