Please show all work in great detail. Will give thumps up. Thank
you
Question 5 (10...
Question 5 (10 points) Wilcoxon Signed-Rank Test for n»30. When you are performing a Wilcoxon signed-rank test and the sample size n is greater than 30, you can use the StandardNormal Table and the formula below to find the test statistic 24 In this problem, perform the Wilcoxon signed-rank test using the test statistic for n>30 A petroleum engineer wants to know whether a certain fuel additive improves a car's gas mileage. lo decide, the engineer records the gas mileages (in miles per gallon) of 33 randomly selected cars with and without the fuel additive. The table shows the results. At α-0.10, can the engineer conclude that the gas mileage is improved? Car Without additive 36.4 36.4 36.6 36.6 36.8 36.9 37.0 37.1 37.2 37.2 36.7 With additive 36.7 36.9 37.0 37.5 38.0 38. 38.4 38.7 38.8 38.9 36.3 1 2345 678910 11 Car Without additive 37.5 37.6 37.8 37.9 37.9 38.1 384 40.2 40.5 40.9 35.0 With additive 38.9 39.0 39.1 39.4 394 39.5 39.8 40.0 40.0 40.36.3 12 13 14 15 16 17 18 19 20 2 22 Car Without additive 32.7 33.6 34.2 35.1 35.2 35.3 35.5 35.9 36.0 36.37.2 With additive 32.8 34.2 34.7 34.9 34.9 35.3 35.9 36.4 36.6 36.6 38.3 23 24 25 2627 28 29 303132 32