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A Biology Professor Claims That, on the Average, 15% of Her

question 5

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A biology professor claims that, on the average, 15% of her students get a grade of A,30% get a B, 40% get a C, 10% get a D, and 5% get an F. The grades of a random sampleof 118 students were recorded. The following table presents the results.  Grade 12345 Observed 335561311\begin{array}{c|lllll}\text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 3 & 35 & 56 & 13 & 11\end{array}
What is the value of χ2\chi ^ { 2 } ?


Definitions:

Formal

Following or according with established form, custom, or rule; characterized by strict or meticulous adherence to established codes or conventions.

Hybrid

Combining two or more different elements, methods, or systems to create a new or dual-functioning entity.

Fact Finding

The process of gathering, analyzing, and reporting on data and facts, often conducted to inform decision-making or resolve disputes.

Substantial Evidence

Refers to evidence that a reasonable mind could accept as adequate to support a conclusion. It is defined as “more than a scintilla but less than preponderance” and consists of “such relevant evidence as a reasonable person would accept as adequate to support a conclusion.”

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