The Scores on a Standardized Test Are Reported by the Testing

question 144

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.

$$\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array}$$
Use the data to conduct a test of hypotheses at $\alpha = .05$ .05 to determine whether there is any evidence to support the counselor's suspicions.

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Definitions:

Marital Roles

The specific ways that married people define their behavior and structure their time.

Wife's Higher Income

A situation where a wife earns more money than her husband.

General Explanations

Broad, overarching reasons or rationales that provide understanding or clarification for phenomena, behaviors, or events.

Economic Roles

The functions and positions individuals and groups occupy in the economic system, affecting how they produce, distribute, and consume goods and services.