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A Biology Professor Claims That, on the Average 15%15 \% Of Her Students Get a Grade Of

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A biology professor claims that, on the average, 15%15 \% of her students get a grade of A\mathrm { A } , 30%30 \% get a B,30%\mathrm { B } , 30 \% get a C,10%\mathrm { C } , 10 \% get a D, and 15%15 \% get an F\mathrm { F } . The grades of a random sample of 105 students were recorded. The following table presents the results.
 Grade 12345 Observed 173926518\begin{array}{c|lllll}\text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 17 & 39 & 26 & 5 & 18\end{array}

Test the hypothesis that the grades follow the distribution claimed by the professor. Use tl α=0.01\alpha = 0.01 level of significance.


Definitions:

First-In, First-Out

An inventory valuation method where the oldest items are sold or used first.

Equivalent Units

A concept in cost accounting used to assess work-in-process inventory by converting partial units into a number of equivalent full units.

Ending Inventory

The worth of merchandise ready for purchase at the close of a financial period, determined by adding purchases to the initial inventory and then subtracting the cost of goods that were sold.

First-In, First-Out Method

An inventory valuation method where the earliest items added to inventory are the first ones considered sold.

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