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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.

Respuesta :

MrRoyal

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:

[tex]H_0:\mu = 90000[/tex]

[tex]H_a: \mu \ne 90000[/tex]

Step-by-step explanation:

Given

[tex]n = 25[/tex] -- sample size

[tex]\mu = 90000[/tex] --- mean

Required

Formulate a hypothesis

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

This represents the null hypothesis

So:

[tex]H_0:\mu = 90000[/tex]

To determine if the mean differs implies that

[tex]\mu \ne 90000[/tex]

This represents the alternate hypothesis

So:

[tex]H_a: \mu \ne 90000[/tex]

So, the null and alternate hypotheses are:

[tex]H_0:\mu = 90000[/tex]

[tex]H_a: \mu \ne 90000[/tex]

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