In 2010, the standard deviation SAT score on the Critical Reading Test for all students taking the exam was 112. A teacher believes that, due to changes to high school curricula, the standard deviation of SAT math scores has decreased.
(a) Determine the null and alternative hypotheses,
(b) Explain what it would mean to make a Type I error, and
(c) Explain what it would mean to make a Type II error.