9.2.1 Perform hypothesis tests 17 [7 points] [Example: Hypothesis Test] A College Board study suggests that coached students taking the SAT should have a mean score of approximately 525. A teacher who runs an online coaching program thinks that students coached by his method have a higher score than this. Because the teacher believes that the mean score for his students is greater than 525, the null and alternate hypotheses are: Ho: = 525 versus H: > 525 Suppose now that the teacher draws a random sample of 150 students that went through his program, and their mean SAT score was X-558. Can the teacher reject and conclude that the mean of all students who go through his program will be greater than 525? Significance Level a H 0.10 0.05 0.02 0.01 Left-tailed -1.282 -1.645 -2.054 -2.326 Right-tailed 1.282 1.645 2.054 2.326 Two-tailed +1.645 1.96 2.326 2.576