Suppose that SAT math scores for all college bound high school seniors are known to be normally distributed with a mean of 500 and a standard deviation of 100 The guidance counselor at a charter school with a focus on math and science wants to compare her students performance on the math section of the SAT to that of all college bound seniors To do this she selects a random sample of 34 college bound seniors from her school and finds that the mean SAT math score for these students is 525 3 The guidance counselor plans to use a one sample z test to determine whether or not students at her school achieve better scores on the math section of the SAT than the general population of college bound seniors Choose the appropriate null and alternative hypotheses for such a test Ho 500 and H X 500 O Ho 525 3 and H 525 3 500 and H 500 Ho Ho 525 3 and H X 525 3 O Ho H 500 and H 500