Five Students Took a Math Test Before and After Tutoring

question 8

Essay

Five students took a math test before and after tutoring.Their scores were as follows. $$\begin{array} { c | c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Before } & 71 & 75 & 69 & 75 & 78 \\\hline \text { After } & 75 & 84 & 67 & 78 & 90\end{array}$$ Do the data suggest that the tutoring improves math scores on average? Perform a paired $\text { t-test }$ at the 10% significance level.

---

Definitions:

Cost-benefit Principle

This refers to the economic principle that actions or decisions should be pursued only if the benefits outweigh the costs.