Fuel Additive 1. Springfield Rent-A-Car is experimenting with two fuel additives to see which one most improves fuel milage (in miles per gallon) for their cars. They selected 12 cars and ran each car with a tank containing fuel additive A, then again with a fresh tank of gas and fuel additive B. Use a Wilcoxon signed-rank test (=0.5 ) to see whether there is a significant difference between the median miles per gallon for the additives. The data on miles per gallon are in the Excel dataset Test 4 Applied Data.xlsx on the tab Additive. State the null and alternative hypotheses H0: r What is the sample size: n= What is the critical value for a Wilcoxon test with this n ? C.V = Find the value of the test statistic: T+= Find the p-value. (Round your answer to four decimal places.) p= What is the effect size for this statistic (non-continuity corrected)? r= State your conclusion about whether to reject the null hypothesis and what it says about whether a difference exists in median miles per gallon for the additives. \begin{tabular}{|c|c|c|} \hline Car & A & B \\ \hline 1 & 19.12 & 17.05 \\ \hline 2 & 22.56 & 20.77 \\ \hline 3 & 22.03 & 21.57 \\ \hline 4 & 20.15 & 18.06 \\ \hline 5 & 20.23 & 21.22 \\ \hline 6 & 25.77 & 22.8 \\ \hline 7 & 16.16 & 17.2 \\ \hline 8 & 17.55 & 13.98 \\ \hline 9 & 22.87 & 21.03 \\ \hline 10 & 25.23 & 20.15 \\ \hline 11 & 22.21 & 21.78 \\ \hline 12 & 26.02 & 24.7 \\ \hline \end{tabular}