Answer Happy

Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Test results for 12 cars follow; each car was tested with both fuel additives. Additive Car 1 2 1 19.12 17.05 2 22.56 20.77 3 22.03 22.57 4 19.15 17.06 5 20.23 20.22 6 25.77 23.80 7 15.16 16.20 8 18.55 13.98 9 21.87 19.03 10 24.23 20.15 11 23.21 22.78 12 25.02 22.70

Use a = 0.05 and the Wilcoxon signed-rank test to see whether there is a significant difference between the median miles per gallon for the additives. Use Table 1 of Appendix B. What are the null and alternative hypotheses? Ho: Median for Additive 1 - Median for Additive 2 equal to 0 » Ha: Median for Additive 1 - Median for Additive 2 not equal to 0 What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)? Mean 39 Standard deviation 12.747 What is the value of the test statistic (to 2 decimals)? -2.51 What is the p-value for the hypothesis test (to 4 decimals)? 0.0120