Answer:
The required hypothesis to test is [tex]H_0: \mu\leq 30[/tex] and [tex]H_1: \mu>30[/tex].
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as [tex]H_0[/tex]. Thus the null hypotheses is shown as:
[tex]H_0: \mu\leq 30[/tex]
The alternative hypotheses is represents as [tex]H_1[/tex]. Thus the alternative hypotheses is shown as:
[tex]H_1: \mu>30[/tex]
Hence, the required hypothesis to test is [tex]H_0: \mu\leq 30[/tex] and [tex]H_1: \mu>30[/tex].
