Final answer:
In the context of the student's question, statistics is used to evaluate the relationship between class attendance and exam performance, to predict outcomes, and to conduct hypothesis testing to compare mean exam scores between different groups or delivery methods.
Step-by-step explanation:
The student's question relates to the subject of statistics, which falls under the larger field of Mathematics. The specific topics addressed in the question involve the use of statistical methods such as regression analysis, predictive models, and hypothesis testing to understand the relationship and significance between class attendance and standardized exam outcomes. These types of analyses help determine whether relationships between two variables are statistically significant and can be used to predict outcomes such as educational performance based on attendance data. Evaluating whether the mean exam scores differ across different delivery types or times of day also involves statistical hypothesis testing, particularly tests of means and proportions.
When analyzing the final exam scores to see if they differ between online and face-to-face classes, the analysis would involve a test of two means, where population standard deviations are likely unknown, hence requiring the use of the t-distribution for hypothesis testing. The random variable in this context would be the final exam scores.