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One population mean-hypothesis test

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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 area scanned while listening to music  and solving math problems, and the brain area of interest has a 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 a mean of 35 and a standard deviation of 10. Using the .01 level what should the researcher. Conclude? Solve this problem explicitly using all five steps of hypothesis testing and illustrate your answer with a sketch (or cutoffs), and the score of the sample on this distributing. Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)

Reference no: EM1313642

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