Question: 36

The Educational Resource Service publishes information about wages and salaries in the public schools system in National Survey of Salaries and Wages in Public Schools. The mean annual salary of (public) classroom teacher is $45.9 thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Hawaii is less than the national mean. The null and alternative hypotheses are:

= 45.9 thousand

< 45.9 thousand,

Where is the mean annual salary of classroom teachers in Hawaii. Explain what each of the following would mean.

a. Type I error

b. Type II error

c. Correct Decision

Now suppose that the results of the sampling lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean salary of classroom teachers in Hawaii.

d. Equals the national mean of $45.9 thousand.

e. Is less than the national mean of $45.9 thousand?