Q 9.22 - Elementary Statistics

Question

Data on salaries in the public school system are published annually in Ranking of the States and Estimates of School Statistics by the National Education Association. The mean annual salary of (public) classroom teachers is $\$55.4$ thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

Step-by-Step Solution

Answer

The Null Hypothesis is $H_0:\mu =\$55.4$ and the Alternative Hypothesis is $H_0:\mu >\$55.4$.

The hypothesis test is right-tailed.

Step 1. Given Information.

The objective is to perform a hypothesis test to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

Step 2. Null Hypothesis.

The Null Hypothesis is:

$H_0:\mu =\$55.4$

The mean annual salary of the classroom teachers in Ohio is not greater than the national mean.

Step 3. Alternative Hypothesis.

The Alternative Hypothesis is:

$H_0:\mu >\$55.4$

The mean annual salary of the classroom teachers in Ohio is greater than the national mean.

Step 4. Checking the hypothesis.

The hypothesis test is right-tailed.