Conditions for a t test about a mean

West High School is a large school with more than $\mathrm{2,000}$‍ students. The school requires that students are assigned an average of $3.5$‍ hours of homework each night. The school board believes that students are being assigned less than this, so they take a random sample of $50$‍ West High School students to determine if there is convincing evidence to support their suspicion. The homework times in the sample are strongly skewed to the right.

The school board wants to use these sample data to conduct a $t$‍ test about the mean.