Quick reaction times are essential to playing many video games. Pranav has come up with a reflex-training program that he believes will improve players' reaction times. To test the effectiveness of his program, Pranav selects a random sample $5$ of his gamer friends for an experiment. The experiment consists of having the subjects perform a reflex-task and recording their response times both before and after completing the training program.
The before-and-after reflex times in milliseconds are shown below:
Subject | $1$ | $2$ | $3$ | $4$ | $5$
:-:|:-:|:-:|:-:|:-:|:-:|
Before | $227$ | $217$ | $180$ | $187$ | $204$
After | $215$ | $196$ | $179$ | $177$ | $189$
Pranav intends to use this data to conduct a hypothesis test to gauge the effectiveness of his training program.
**Assuming that all the necessary conditions are met, calculate the standardized test statistic associated with the appropriate hypothesis test.**
*Round to the nearest hundredth.*
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