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

question 31

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. 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.

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Definitions:

Variable Direct Materials Cost

Refers to the fluctuating cost of raw materials that directly goes into producing a product, changing as the volume of production varies.

Contribution Margin

The amount by which the sale of a product exceeds its variable costs, contributing to covering fixed costs and generating profit.

Activity Rate

The estimated activity cost divided by estimated activity-base usage.

Production Setup

The preparation and arrangement of tools, machines, and equipment necessary for the commencement of production operations in a manufacturing environment.