A state school administrator says that the standard deviation of test scores for eighth grade students who took a U.S. history assessment is less than 30 points. You work for the administrator and are asked to test this claim. You randomly select 25 tests and find that the tests have a standard deviation of 33.6 points. At a = 0.05, complete a hypothesis test to find out if you can support the administrator's claim.
1. List Ho and Ha (Note : Remember you are not testing the mean, so "Y" should not be used)
2. Find the critical value(s)
3. Find X(2), the standardized test statistic
4. Decide whtether to reject or fail to reject the null hypothesis
5. Interpret the decision in the context of the original claim.