To what extent does brand recognition influence individuals’ ability to accurately identify the brand of a cookie and how does this affect their flavor perception, and how can mathematical models help explain these phenomena?

I collected data from 25 people asking them if they could tell the difference between namedbrands including oreos, chips ahoy, and cheez its. Then I gave them the off-brands which included Twisters (Offbrand oreos), Chips Galore (offbrand chips ahoy), and CHZ^2 (offbrand cheez-its). 17/25 guessed incorrectly for the oreos, 19/25 guessed incorrectly for the chips ahoy, and 9/25 guessed incorrectly for the cheez-its. I asked questions how it tastes, whihc one they like better, how they feel. Every time each individual automatically assumed the better tasting cookie was the name brand. This brings forth the question, what is the purpose of paying more for the name brand if it does not taste as good as the offbrand, are people paying simply for the name, or are people easily influenced etc. Using this data, adequately answer the prompt. Create equations and mathematical models to answer, converting qualitative data to quantitative. This paper is 11 pages, including data, equations, graphs etc with written analysis and explantions. Here is how to format: 


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