Given the Following Test Scores, Find a 95 Percent Confidence

question 56

Multiple Choice

Given the following test scores, find a 95 percent confidence interval for the population mean: 148, 154, 158, 160, 161, 162, 166, 170, 182, 195, 236. Assume population normality.

• A) [155.24, 188.76]
• B) [168.64, 175.36]
• C) [157.25, 186.75]
• D) [116.41, 227.59]

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Definitions:

Existential Generalization

A logical inference rule that allows for the conclusion that something exists based on the existence of a particular instance.

Quantifier Negation

The act of negating the quantifier in a logical statement, which changes the scope or range of the statement.

Universal Generalization

A conclusion drawn about all things in a certain category, based on observations or evidence from some members of that category.

Existential Instantiation

A logical rule inferring the existence of at least one instance of a predicate; used in proofs to show something exists.