If you are having trouble solving homework problems, should you sleep on it and try again in the morning? Huber asked 10 human subjects to perform a complex spatial learning task on the computer just before going to sleep. EEG recordings were then taken of the electrical activity of brain cells during their sleep. The magnitude of the increase in their “slow-wave” sleep after learning the complex task, compared to baseline amounts, is listed in the accompanying table for all 10 subjects. Also provided is the increase in performance recorded when the subjects were challenged with the same task upon waking.Increase in slow-wave sleep % Improvement in task performance %8 814 313 015 017 818 1531 1432 1044 2754 26A) calculate the correlation coefficient between the magnitude of the increase in slow-wave sleep and the magnitude of the improvement in performance up waking.B) what is the standard error for your estimate in part a?C) provide an interpretation of the quantity you calculated in part b. what does it measure?D) test the hypothesis that the two variables are correlated in the populationE) is this an observational or an experimental study? why?
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