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A researcher predicts that listening to music while solving math problems will make the specific brain area more active. To test this, research participants has her brain scanned while listening to music and solving math problems and brain area of interest has the percent signal change of 58. From many previous studies with this same math-problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with the mean of 35 and standard deviation of 10. Using .01 level, what should the researcher conclude? Solve this problem explicitly by using all 5 steps of hypothesis testing and illustrate your answer with the sketch showing the comparison distribution. Then describe your answer to someone who has never taken the statistic course (but who is familiar with mean, standard of deviation and Z scores).

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