Question

The owner of a local 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. If so, she plans to alter the entertainment to appeal to an older crowd. It not, no entertainment changes will be made. The appropriate hypothesis to test is:

Answer 1

The required hypothesis to test is
`H_0: \mu\leq 30` and
`H_1: \mu>30`.

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
`H_0`. Thus the null hypotheses is shown as:

`H_0: \mu\leq 30`

The alternative hypotheses is represents as
`H_1`. Thus the alternative hypotheses is shown as:

`H_1: \mu>30`

Hence, the required hypothesis to test is
`H_0: \mu\leq 30` and
`H_1: \mu>30`.