A Tutoring Company Claims That 75% of the High School

question 73

Essay

A tutoring company claims that 75% of the high school students who hire one of their tutors will improve their grades.
A) In a sample of 100 high school students, what is the probability that 80% or more improved their grades?
B) In a sample of 200 high school students, what is the probability that 80% or more improved their grades?
C) Comment on the reason for the difference between the computed probabilities in parts a and b.

• A) In a sample of 100 high school students, what is the probability that 80% or more improved their grades?
• B) In a sample of 200 high school students, what is the probability that 80% or more improved their grades?
• C) Comment on the reason for the difference between the computed probabilities in parts a and b.

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Definitions:

Small Informal Groups

Collectives of individuals who come together spontaneously or for a specific purpose without a formal structure.

Propinquity

The proximity or physical closeness between people, which can affect their likelihood to form relationships or connections.

Reference Groups

Groups that individuals compare themselves to for self-evaluation or as a source of personal standards.

Group Unanimity

The state or condition of complete agreement or consensus among all members of a group, often contributing to stronger group cohesion and decision-making.