Was the "percent of fat calories that a person in America consumes each day" determined by this sample? If so, this sample is too small to generalize to the population.
If not, I would assume that the data was found with a larger sample and apply the normal distribution.
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen.
Is it appropriate to use the normal approximation for the sampling distribution in this case? Why or Why not?
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