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.

Question

A) Is it appropriate to use the normal approximation for the sampling distribution in this case? Why or Why Not?

B)Assuming its appropriate to use the normal approximation, find the first quartile for the average percent of fat calories and write a sentence to interpret it in the context of this problem?

I know the 1st quartile is 34.31 but not sure how to write sentence to interpret it.

Thanks

Answer 1

A) small sample. What experiment?

B) If that is the first quartile, then 25% would consume 34.31 fat calories or less.

Consumption ≤ 34.51