Suppose that scores on the Scholastic Aptitude Test form a normal distribution with = 500 and = 100. A high school counselor has developed a special course designed to boost SAT scores. A random sample of 16 students is selected to take the course and then the SAT. The sample had an average score of 544. Test the claim that someone who takes the Scholastic Aptitude Test will get a score greater than 500. Test at a significance level of = 0.01. a) State the claim and the opposite H0: H1: What is the significance level Calculate the test- statistic (use formula for population mean) What is the p-value? (remember to check if it is left, right or 2 tail) Do we reject or fail to reject H0? Which is the correct interpretation (circle the correct answer) a. There is enough evidence to support the claim that someone who takes the Scholastic Aptitude Test will get a score greater than 500. b. There is not enough evidence to support the claim that someone who takes the Scholastic Aptitude Test will get a score greater than 500