5 Jasmine's French teacher states that a homework assignment should take, on average, 30 minutes to complete.
Jasmine believes that he is understating the mean time that the assignment takes to complete and so decides to investigate. She records the times, in minutes, that it takes for a random sample of 10 students to complete the French assignment, with the following results:
$$\begin{array} { l l l l l l l l l l }
29 & 33 & 36 & 42 & 30 & 28 & 31 & 34 & 37 & 35
\end{array}$$
- Test, at the \(1 \%\) level of significance, Jasmine's belief that her French teacher has understated the mean time that it should take to complete the homework assignment.
- State an assumption that you must make in order for the test used in part (a) to be valid.