Question

In conducting a test to see whether GPA is lower on average for students whose roommate brings a videogame to campus, define the parameter(s) (mean? Proportion? Difference in means? Difference in proportions?) of interest and select the correct the null and alternative hypotheses.

1. H0: μv = μn H0: μv ≤ μn H0: pv = pn

2. Ha: μv < μn Ha: μv > μn Ha: pv = pn

Answer 1

Solution: In order to answer the given question, we define the parameters as and for denoting the average GPA of students whose rommates bring videogame to campus and whose roommates don't bring respectively.

Correct answer = mean [Since we are to check on the "average" for the students]

Also,  the correct the null and alternative hypotheses is:

H0: μv = μn vs Ha: μv < μn [Since it is to be checked whether GPA is "lower" for students bringing videogame to campus. And μv is denoted as the average GPA of students whose roommates bring videogame to campus.]

Correct nswer = option (a)