Round answers to 4 decimal places. Use and necessary; show all work, including calculator functions. 1. The mean score on the SAT Math Reasoning exam is 516. A test preparation company states that the mean score of students who take its course is higher than 516. a statement that, 1.1. Determine the null and alternative hypotheses. The Null Hypothesie (to) ssumes there is no signifs count difference the Null Hypothesis is that the mean I core of e of student who take the test preparation course is equal to 576 ffeet. Tu this case, 1.2. Explain what it would mean to make a Type I error in context of the problem. 1.3. Explain what it would mean to make a Type II error in context of the problem. 1.4. Suppose the sample evidence suggests the null hypothesis should not be rejected. State the conclusion for this test. the null hypothesis should be rejected. State the