A Test of Abstract Reasoning Is Given to a Random $\text { t-test }$

question 17

Essay

A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course.The results are given below.Do the data suggest that the mean score after the course differs from the mean score before the course? Perform a paired $\text { t-test }$ at the 5% significance level. $$\begin{array} { l | l l l l l l l l l l } \text { Before } & 74 & 83 & 75 & 88 & 84 & 63 & 93 & 84 & 91 & 77 \\\hline \text { After } & 73 & 77 & 70 & 77 & 74 & 67 & 95 & 83 & 84 & 75\end{array}$$

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Definitions:

Average Product

The output per unit of input, calculated by dividing total product by the quantity of input used in production.

Workers

Individuals who perform services or labor for compensation.

Marginal Product

The extra output generated by adding a single unit of a specific input while keeping all other inputs unchanged.

Price of Capital

the cost of using capital assets for production, often reflected in interest rates or rental charges of capital equipment.