(Solved): The national average SAT score is roughly 1500 . We would like to see if the high school seniors wh ...

The national average SAT score is roughly 1500 . We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. \( H_{0}: \mu \) Duke \( =\mu \) National; \( H_{A}: \mu \) Duke> \( \mu \) National \[ \begin{array}{l} H_{0}: \mu=1500 ; H_{A}: \mu \neq 1500 \\ H_{0}: p=1500 ; H_{A}: p>1500 \\ H_{0}: x=1500 ; H_{A}: x>1500 \\ H_{0}: \mu=1500 ; H_{A}: \mu>1500 \end{array} \]