Using the Wilcoxon Signed-Ranks Test.?Refer to the sample data for the given exercises .Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise Use the sign test for the data consisting of matched pairs. Flight Data Repeat Example 2 using the following times for American Airlines Flight 19.

Solution 6BSC Step 1 The given problem explain about Flight Data. From the given problem we use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. We know that the given data are a simple random sample. Here we have to check the symmetry. Then we have to find the differences. Now,we are subtracting taxi-out time (min) and taxi-in times(min). Step 2 Now the histogram of the differences is shown in below. From the above histogram the mirror image of the right side is nearly to the left side of the histogram.So the differences are symmetric and the second condition of the Wilcoxon signed rank test is satisfied as well. Then the null hypothesis is the claim of there is no difference between the Taxi-in times and Taxi-out Times and the alternative hypothesis is the claim that there is a difference. H :0 T here is no difference between the Taxi-in times and Taxi-out Times. H : T here is a difference between the Taxi-in times and Taxi-out Times. 1 Now ignoring the signs of the differences, sort the differences from lowest value to highest value.and replace the differences by the corresponding rank value as shown.