Question

A new runner has decided to purchase a new pair of running shoes. He has narrowed...

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 enlisted a random sample of 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. What method of analysis is more appropriate to use for this problem?

Group of answer choices

Independent sample t-test

paired difference t-test

INdependent sample z-test

paired difference z-test

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Paired difference t-test

Explanation:

For the given scenario, both brands of shoes were tested by the same six runners. For the given samples, there is a one-to-one relationship exists between the observations of the both samples. It is observed that both samples are dependent samples. Given data is a paired data. The both samples are generated for the same six runners. So, in this case, we need to use the paired-samples t-test or dependent samples t-test.

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