The Scores on a Standardized Test Are Reported by the Testing

question 11

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. $$\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array}$$ Find and interpret the p-value for the test of H0: μ = 75 against Ha: μ > 75.

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Definitions:

Auxiliary View

A supplementary orthographic view in drafting and engineering used to show features that are not fully visible or clear in the principal views.

True To Form

An expression denoting that an object is accurately made or shaped according to its design.

Number Of Times

The frequency or occurrence rate of an event or action.

Number Of Places

Refers to the specified number of locations or positions within a given context or setting.