Answer: [tex]H_0 : \mu=50\\\\ H_1 : \mu\neq50[/tex]
Step-by-step explanation:
An null hypothesis ([tex]H_0[/tex]) is a statement of equality which shows that there is no statistical difference between the groups being tested.
An alternative hypothesis ([tex]H_1[/tex]) is a statement of inequality which shows that there is statistical difference between the groups being tested.
Let [tex]\mu[/tex] be the population mean amount of garbage per bin .
Given : A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.
i.e. [tex]\mu\neq 50[/tex] → Alternative
Thus , the appropriate null and alternative hypotheses :
[tex]H_0 : \mu=50\\\\ H_1 : \mu\neq50[/tex]