SCENARIO 9-9 The President of a University Claimed That the Entering Class

question 170

True/False

SCENARIO 9-9
The president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years.He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53.The university's record indicates that the mean SAT score for entering students from previous years is 1,520.He wants to find out if his claim is supported by the evidence at a 5% level of significance.
-Referring to Scenario 9-9,the president can conclude that the mean SAT score of the entering class this year is lower than previous years using a level of significance of 0.10.

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Definitions:

Hypothetical Syllogism

A form of logical argument involving two conditional statements and a conclusion derived from them.

Modus Ponens

A form of logical argument where if a conditional statement ("if P then Q") is accepted, and the antecedent (P) holds, then the consequent (Q) can be concluded.

Inductive Generalization

A form of reasoning where a conclusion is drawn about all members of a group based on observations of a sample of that group.

Sodium

A chemical element with the symbol Na and atomic number 11, which is a soft, silvery-white, highly reactive metal and is found in many salts, including table salt.