For a specific year, the average score on the SAT Math test was 515. The variable is normally distributed, and the population standard deviation is 100. A school superintendent wishes to see if her students scored significantly below the national average on the test. She randomly selected 36 student scores and the average score from those 36 students was 509. The data was analyzed on Minitab and the p-value was found to be 0.3594. (a) At the 5% significance level, is there enough evidence to support her claim? (b) Give a 95% confidence interval for the average score on the SAT Math Test. (c) Interpret the 95% confidence interval you found in part (b). What does it mean to be 95% confident?