Use the Traditional Method of Hypothesis Testing to Test the Given

question 49

Essay

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that
two dependent samples have been randomly selected from normally distributed populations.
-Five students took a math test before and after tutoring. Their scores were as follows. $$\begin{array} { c | c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Before } & 77 & 69 & 66 & 72 & 69 \\\hline \text { After } & 81 & 78 & 64 & 75 & 81\end{array}$$ Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.

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Definitions:

Fritsch and Hitzig

Fritsch and Hitzig were pioneering neuroscientists known for their research demonstrating the electrical excitability of the cerebral cortex.

Electrical Potential

The amount of electric potential energy per unit charge at a specific point in an electric field, influencing the movement of charged particles.

Electric Charge

A physical property of matter that causes it to experience a force when placed in an electromagnetic field, fundamental to electricity.

René Descartes

A French philosopher, mathematician, and scientist who is considered one of the founders of modern philosophy, known for "Cogito, ergo sum" ("I think, therefore I am").