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 a Why are these paired data O There are an equal number of shoes of each type Runner 1 2 3 4 New Material Wear 1 05 1 1 1 09 1 03 Old Material Wear 1 05 0 99 0 93 1 05 O The top and bottom values in each column are from the same runner O Runners typically run in groups of two Each runner has a pair of shoes This table does not have paired data there is no clear relationship between the top and bottom values in any column b Write the hypotheses in symbols O Ho Hdiff new old 0 Ha Hdiff new old 0 O Ho Hdiff new old 0 Ha Hdiff new old 0 O Ho Hdiff new old 0 Ha Hdiff new old 0 c Put the list of differences in your calculator and use T Test to find the p value P please round to four decimal places