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

question 7

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. 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.

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Definitions:

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 means the event will not happen, and 1 means it will definitely happen.

Jelly Beans

Small, bean-shaped sugar candies with soft candy shells and thick gel interiors, available in various flavors.

Proportion

A statistical measure that reflects the fraction of the total number of items in a particular category.

Standard Deviations

A measure that quantifies the amount of dispersion or variability of a set of data points or distribution from its mean.