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The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen for an experiment.

Completely describe the distribution of sample means for the group of 16 individuals that was chosen in the experiment above.

Find the probability that the percent of fat calories that an individual in the group consumes is more than 30 percent per day.

For the group of 16, find the probability that the average percent of fat calories consumed is more than 30 calories.

Find the first quartile for the average percent of fat calories consumed for the group of 16.

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