The following list of numbers give you the random input values for Question 2 and Question 3. Select the option with the answer "1" to continue. Question 2 [15 points) Ten years ago, in a certain state in the US, the mean SAT Math score of all high school students 1who took the exam was with a standard deviation of E. To determine if the scores in the district have improved over the last ten years, a hypothesis test at signicance level will be conducted based on the SAT Math scores of a random sample of Q students who took the exam this year. A 30-point increase from w is important enough to he considered an improvement so the researchers would like to have at least 30% power to detect an increase this large or larger. Determine if a sample of size Q is suicient to accomplish this project. State all the necessary assumptions 1you made to reach your conclusion. Paragraph v