A Math Professor Has Observed Over Several Years That About

question 9

Essay

A Math professor has observed over several years that about 38% of the students who initially major in Math drop out of the program after their freshman year.The department head suggested making the curriculum easier by taking a couple of 300 level courses out of the requirements.With the new curriculum intact,207 began their freshman year as Math majors and only 59 dropped out of the program.Should the college continue with the easier curriculum? Test an appropriate hypothesis using α = 0.05 and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

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Definitions:

Diseconomies of Scale

An economic concept where an increase in production leads to a rise in average costs per unit due to inefficiencies.

Economies of Scale

Cost advantages that a business can achieve by increasing the scale of production, leading to lower average costs per unit due to spread fixed costs and operational efficiencies.

Cycle Inventory

The portion of inventory that a company rotates in and out of stock as part of its normal business operations, reflecting the frequency of production and ordering cycles.

Objective Lenses

The lenses on a microscope closest to the specimen, responsible for magnifying the image.