In 2017, the standard deviation of SAT score on the Evidence-based Reading and Writing Test for all students taking the exam was 100. A teacher believes that, due to changes to high school curricula, the standard deviation of SAT scores has decreased.

In Problems, 

(a) State the null and alternative hypotheses in words, 

(b) State the null and alternative hypotheses symbolically,

(c) Explain what it would mean to make a Type I error, and
(d) Explain what it would mean to make a Type II error.