Question

A new runner has decided to purchase anew 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 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. The following data was recorded, representing the number of weeks each runner used each pair of shoes. Shoe Brand Brand A Brand B 1 2 3 4 5 6 10 6 14 12 10 13 9 7 12 14 11 11 1. Perform the appropriate test of hypothesis to determine whether there is a significant difference in the average wear between the two brands of shoes. Use the 5% level of significance. 2. 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.

          A new runner has decided to purchase anew 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 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. The following data was recorded, representing the number of weeks each runner used each pair of shoes.
Shoe Brand
Brand A
Brand B
1
2
3
4
5
6
10
6
14
12
10
13
9
7
12
14
11
11
1. Perform the appropriate test of hypothesis to determine whether there is a significant difference in the average wear between the two brands of shoes. Use the 5% level of significance.
2. 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.

Added by Virginia C.

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