Question

Administrators at a large public high school are interested in their students’ standardized test scores. Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year. Let = the true mean score on the standardized math test for students taught with the new method. What are the appropriate hypotheses for performing a significance test?

Answer 1

The appropriate hypotheses for performing a significance test is:

`H_0: \mu = 51`

`H_1: \mu > 51`

Explanation:

Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.

At the null hypothesis, we test if the mean score this year is the same as last year, that is:

`H_0: \mu = 51`

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

`H_1: \mu > 51`

The appropriate hypotheses for performing a significance test is:

`H_0: \mu = 51`

`H_1: \mu > 51`