Is the Mean Weight of Female College Students Equal to 59

question 36

Multiple Choice

Is the mean weight of female college students equal to 59 kg? To test this,you take a random sample of 80 students,finding a mean of 61 kg with a standard deviation of 8.4 kg.

• A)Fail to reject the null hypothesis of μ = 59 with a P-value of 0.9668.There is not sufficient evidence that the weight of female students has changed.
• B)Fail to reject the null hypothesis of μ = 59 with a P-value of 0.0166.There is not sufficient evidence that the weight of female students has changed.
• C)Reject the null hypothesis of μ = 59 with a P-value of 0.0332.There is sufficient evidence that the weight of female students has changed.
• D)Reject the null hypothesis of μ = 59 with a P-value of 0.0166.There is sufficient evidence that the weight of female students has changed.
• E)There is not enough information to perform the test.

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Definitions:

Categorical Propositions

Statements that assert or deny that all, some, or none of a particular class of objects belong to another class of objects.

Universal

Describes something that applies to all instances or a concept that is globally accepted or recognized.

Categorical Syllogism

A logical argument that makes use of three categorical statements, including two premises and a conclusion, to demonstrate a relationship between sets or categories.

Categorical Syllogism

A form of deductive reasoning consisting of three parts: a major premise, a minor premise, and a conclusion, each of which is a categorical proposition.