Answer:
The correct set of hypothesis is:
[tex]H_0: \mu = 500[/tex]
[tex]H_1: \mu \neq 500[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is at the desired value of 500 grams, that is:
[tex]H_0: \mu = 500[/tex]
At the alternate hypothesis, we test that the machine is either overfilling or under-filling, that is, the mean is different from 500. So
[tex]H_1: \mu \neq 500[/tex]
The correct set of hypothesis is:
[tex]H_0: \mu = 500[/tex]
[tex]H_1: \mu \neq 500[/tex]
