In the Past,of All the Students Enrolled in "Basic Business

question 7

Essay

In the past,of all the students enrolled in "Basic Business Statistics," 10 percent earned A's,20 percent earned B's,30 percent earned C's,20 percent earned D's,and the rest either failed or withdrew from the course.Dr.Johnson is a new professor teaching "Basic Business Statistics" for the first time this semester.At the conclusion of the semester,in Dr.Johnson's class of 60 students,there were 10 A's,20 B's,20 C's,5 D's,and 5 W's or F's.Assume that Dr.Johnson's class constitutes a random sample.Dr.Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different from the historical grade distribution.Use α = .05 and determine the appropriate degrees of freedom and the rejection point condition associated with this goodness of fit test.

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Definitions:

Universal Generalization

A form of logical inference where a general statement is made about all members of a set based on sufficient evidence or instances.

Existential Instantiation

A logical operation that infers the existence of at least one individual satisfying a particular property from a general statement.

Universal Instantiation

A logical rule of inference that allows one to deduce a particular instance from a universal statement, essentially moving from a general statement to a specific example.

Existential Generalization

A logical inference rule stating that if something is true for some member of a domain, then it is true that there exists something in that domain for which the proposition holds.