Given:
The test claims that night students' mean GPA is significantly different from the mean GPA of day students.
Null hypothesis: the population parameter is equal to a hypothesized value.
Alternative hypothesis: it is the claim about the population that is contradictory to the null hypothesis.
For the given situation,
![\begin{gathered} \mu_N_{}=\text{ Night students} \\ \mu_D=Day\text{ students} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mkesz8sdge3j93eslkqufaa8hbrpc33k1h.png)
Null and alternative hypothesis is,
![\begin{gathered} H_0\colon\mu_N=\mu_D \\ H_1\colon\mu_N_{}\\e\mu_D \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5ehd1qnr3j4trpewn8clci8jnnc17yp464.png)
Answer: option f)