Final answer:
The question concerns high school-level Mathematics, specifically statistics and hypothesis testing, to determine if students watch less television than the national average using survey data.
Step-by-step explanation:
The subject of the question is Mathematics, specifically focusing on statistics and hypothesis testing. High school students seeking to understand how to use statistical methods to analyze survey data regarding television watching habits would benefit from this answer. The question deals with constructing a hypothesis test to determine if the average amount of TV watched per day by students at a school is lower than a known average. A key concept involved is the use of a sample to infer information about the larger population, which is fundamental in statistical analysis.
To perform the hypothesis test in question, one would begin by setting up the null and alternative hypotheses, considering the provided standard deviation (σ = 2) and then calculating the test statistic using the sample mean. Afterwards, one would compare this test statistic to the critical value from the normal distribution (since the population standard deviation is known) to determine whether to reject or fail to reject the null hypothesis. The steps involve understanding the concepts of test statistics, significance levels, and confidence intervals.