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The Scores on a Standardized Test Are Reported by the Testing

question 65

Essay

The scores on a standardized test are reported by the testing agency to have a mean of 70. Based on his personal observations, a school guidance counselor believes the mean score is much higher. He collects the following scores from a sample of 50 randomly chosen students who took the test. 3948556366686869707171717374767676777879797979808082838383858586868888888889898990919292939596979799\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array} Use the data to conduct a test of hypotheses at α = .05 to determine whether there is any evidence to support the counselor's suspicions.

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Definitions:

Rehearsal

A cognitive process involving the repetitive review of information to enhance memory retention.

Short-Term Memory

The ability to keep a limited amount of data actively available in one's consciousness for a brief duration.

Short-Term

Relating to or occurring over a short period of time; often used in the context of memory to describe information held temporarily for processing.

Trace

A very small amount or indication of something.

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