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A Few Years Ago, Pepsi Invited Consumers to Take the "Pepsi

question 57

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A few years ago, Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked to decide which of two sodas, Coke or Pepsi, they preferred in a blind taste test. Pepsi was interested in determining what factors played a role in people's taste preferences. One of the factors studied was the gender of the consumer. Data on the percentage of men and women depicting preference for Pepsi were collected. Which of the following tests will you use to find out if there is any difference in preference between the different gender groups?


Definitions:

Density Function

A mathematical function that describes the distribution of a continuous random variable, indicating the probability of the variable falling within a particular range.

Exponentially Distributed

Pertaining to a statistical distribution characterized by a constant rate of decay or growth over time.

Random Variable

A variable whose outcomes are determined by the occurrences of a random event.

Exponential Random Variable

A type of random variable that describes the time between events in a Poisson process, representing occurrences that happen at a constant rate.

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