SOLUTION: A principal believes 50% of her music students reported their practice hours accurately. Based on that assumption, she ran 200 simulations of random samples. She found the mean of

Question 1140926: A principal believes 50% of her music students reported their practice hours accurately. Based on that assumption, she ran 200 simulations of random samples. She found the mean of each run. Then she found the mean, 48%, and standard deviation of all the means, 18%, to create a normal distribution.
According to that distribution, which option below gives the best description of how likely is it that a single survey would return a mean of 30%?
extremely likely
likely
unlikely
extremely unlikely

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is unlikely but not extremely unlikely. One SD below the mean or more is about the 16th percentile.
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