3) (6 points) A flight simulator test developed at UW shows performance among UW undergraduates that follows a normal distribution, with an average score of 300 points and a standard deviation of 50 points. Currently, systems engeneering and psychology researchers a trying to figure out a way to improve a performance by employing a mindfulness exersise before the flight simulator test. Researchers expect that this exersize will boost UW students' scores on the flight simulator test by 26 points. (a) If a random set of 44 UW students take part in the mindfulness exersise before the flight simulator test, what is the estimated power of the study ( =.05)? Show each step of your work! (b) What sample size would be sufficient to achieve power = .90 for a one-tailed hypothesis test ( =.05)?