!!PLEASE HELP!! URGENT! ANSWER NEEDED!!
A university is comparing the grade point averages of biology majors with the grade point averages of engineering majors. 25 students from each major are randomly selected. The mean and standard deviation for each sample are shown in the table.
Biology Majors sample mean: 3.22. Sample standard deviation: 0.05
Engineering Major sample mean: 3.17. Sample standard deviation: 0.03
The university wants to test whether there is a significant difference in the GPAs for students in the two majors. What are the null and alternative hypotheses that should be used to test this claim?
- [tex]null: u_1 - u_2 \ \textgreater \ 0; alternative: u_1 - u_2 \ \textless \ 0[/tex]
- [tex]null: u_2 - u_1 \neq 0; alternative: u_1 - u_2 = 0[/tex]
- [tex]null: u_1 - u_2 = 0; alternative: u_2 - u_1 \ \textless \ 0[/tex]
- [tex]null: u_1 - u_2 = 0; alternative: u_1 - u_2 \neq 0[/tex]
Please show your work :)