Question

The national mean annual salary for a school administrator is $90,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.

Answer 1

Missing part of question

Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

Answer:

`H_0:\mu = 90000`

`H_a: \mu \\e 90000`

Explanation:

Given

`n = 25` -- sample size

`\mu = 90000` --- mean

Required

Formulate a hypothesis

First, the mean annual salary is: $90,000

This represents the null hypothesis

So:

`H_0:\mu = 90000`

To determine if the mean differs implies that

`\mu \\e 90000`

This represents the alternate hypothesis

So:

`H_a: \mu \\e 90000`

So, the null and alternate hypotheses are:

`H_0:\mu = 90000`

`H_a: \mu \\e 90000`