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 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:
Runner The new runner used a paired-difference t-test for the analysis. Is this method appropriate? Justify your answer.
________________________________________________________
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.
Use the Data Analysis software if you prefer.
Test Statistic = ______________
Reject Region: Reject H₀ if |t| > ______________
Conclusion: ______________
One ______________ that there is a significant difference in average wear length between the two brands of shoes Find a 95% confidence interval (CI) for the difference in average wear length between the two brands of shoes.
CI = ______________ Enter (n1, n2)
Based on this interval, one ______________ that there is a significant difference in average wear length between the two brands of shoes.