Consider rolling two fair six-sided dice let y be the sum

Question

Fuel Consumption and Cars New vans sold in the European Union in 2017 are targeted to have an emission rate of 175 g CO₂/km. By 2020 the manufacturers will have to reduce emissions even further.21 A random sample of new vans sold in Germany and Denmark was obtained, and the CO₂ emission rate was measured for each.

a. Use the Wilcoxon signed-rank test to determine whether there is any evidence that the median CO₂ emission rate for new vans in Germany is greater than 175 g. Use a = 0.01.

b. Use the Wilcoxon signed-rank test to determine whether there is any evidence that the median CO₂ emission rate for new vans in Denmark is greater than 175 g. Use a = 0.01.

c. Use the Wilcoxon rank-sum test to compare the population median CO₂ emission rates in Germany and Denmark.

d. Summarize your results and each country's progress toward the 2017 target emission rate.