A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal change of 58. From many previous studies with the same math problems procedure ( but not listening to music) , it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. (a) Using the .01 level what should the researcher conclude? Solve this problem explicitly using the five steps of hypothesis testing and illustrate your answer with a sketch showing the comparison distribution, the cutoff ( or cutoffs) and the score of the sample of this distribution. (b) then explain your answer to someone who has never had a course in statistics