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3) (6 points) A flight simulator test developed at UWaterloo shows performance among UWaterloo participants that follows a normal distribution, with an average score of 500 points and SD = 100 points. Currently, systems engeneering and psychology researchers try to figure out a way to improve a performance by employing mindfulness exersize before the flight simulator test. Researchers expect that this exersize will boost UWaterloo students scores on a flight simulator test by 40 points. (a) If a random set of 60 UWaterloo students take part in the mindfulness exersize before flight simulator test, what is the estimated power of the study (d =.05) conducted on the flight simulator test? Show each step of your work! (b) What sample size would be sufficient to achieve power = .90 for a one-tailed hypothesis test (a =.05)