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A New Runner Has Decided to Purchase a New Pair

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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 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 H<sub>0</sub> 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. 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.

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Understand the impact of technology and substitutes on the relative prices of natural resources.
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Definitions:

Mental Lock

A psychological barrier that prevents an individual from seeing or exploring solutions outside of their usual thought patterns.

Creativity

The ability to produce original ideas or solve problems in novel and effective ways.

Avoiding Ambiguity

The practice of making information clear and understandable to eliminate confusion and uncertainty.

High Absenteeism Rate

A situation where there is a consistently high number of instances where employees are absent from work, often indicating underlying issues.

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