The data found below measure the amounts of greenhouse gas emissions from three

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? What are the hypotheses for this test? A. H_0: mu_1 notequalto mu_2 notequalto mu_3 H_1: mu_1 = mu_2 = mu_3 B. H_0: mu_1 = mu_2 = mu_3 H_1: mu_1 notequalto mu_2 notequalto mu_3 C. H_0: At least one of the means is different from the others. H_1: mu_1 = mu_2 = mu_3 D. H_0: mu_1 = mu_2 = mu_3 H_1: At least one of the means is different from the others. 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.

Explanation / Answer

for hypothesis: option D is correct

applying one way ANOVA on above:

test stat F =40.67

p value =0.0000

reject the null hypothesis/ ... of vehicle does appear to affect////

Groups Count Sum Average Variance A 10 618 61.8 42.17778 B 8 640 80 60 C 9 809 89.88889 42.86111 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 3872.178 2 1936.089 40.6710 0.0000 4.3187 Within Groups 1142.489 24 47.6037 Total 5014.667 26

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