The Scores on a Standardized Test Are Reported by the Testing

question 106

Essay

The scores on a standardized test are reported by the testing agency to have a mean of 75.
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. $$\begin{array}{l}\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array}\\\text { Find and interpret the } p \text {-value for the test of } H _ { 0 } : \mu = 75 \text { against } H _ { \mathrm { a } } : \mu > 75 \text {. }\end{array}$$

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Definitions:

Promotional Elements

Components of marketing communication, including advertising, sales promotions, public relations, and direct marketing.

Promotional Efforts

Activities and strategies implemented by a business to promote and advertise its products or services to increase sales or public awareness.

Ultimate Consumers

Individuals who buy products or services for personal use and not for manufacture or resale.

Intermediaries

Entities or individuals that act as middlemen in the distribution channel, facilitating transactions between producers and end-users.