c) use T-test in your calculator to find the p value ?d ) what is the conclusion of the hypothesis test?e) what is the final conclusion in everyday language?

Running Shoes. A shoe designer tests a new material for the soles of their most popular line of running shoes. She has 4 athletes run 100 miles with one of last years shoes and one of these new shoes, randomly assigning the new shoe to the left or right foot. Afterward, she measures the amount of wear on each of the shoes in millimeters. Test the claim that the amount of wear with the new material is different from the amount of wear with the old material. Runner 23 4 New Material Wear 1.02 1.12 1.14 1.12 Old Material Wear 1.02 1.09 0.96 1.04 (a) Why are these paired data? O Runners typically run in groups of two. O Each runner has a pair of shoes. The top and bottom values in each column are from the same runner. O This table does not have paired data; there is no clear relationship between the top and bottom values in any column. There are an equal number of shoes of each type. (b) Write the hypotheses in symbols. OH.: Hdiff=new-old = 0 Hai Hdiff=new-old 0 O Ho: Hdiff=new-old = 0 Ha: Hdiff=new-old *0