Running Shoes Narrative A New Runner Has Decided to Purchase a New Pair

Essay

Running Shoes Narrative
A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would be appropriate for his use. His concern is whether there is a significant difference in the average wear between the two brands of shoes. He enlists a random sample of six veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. The following data were recorded, representing the number of weeks each runner used each pair of shoes:
Runner
-Refer to Running Shoes Narrative. Find a 95% confidence interval for the difference in average wear length between the two brands of shoes. Based on this interval, can one conclude there is a significant difference in average wear length between the two brands of shoes? Justify your answer.