How much vitamin C do you need?

The Food and Nutrition Board of the Institute of Medicine working in cooperation with scientists

from Canada have used scientific data to answer this question for a variety of vitamins and

minerals.47 Their methodology assumes that needs, or requirements, follow a distribution. They

have produced guidelines called dietary reference intakes for different gender-by-age combinations. For vitamin C, there are three dietary reference intakes: the estimated average requirement (EAR),which is the mean of the requirement distribution; the recommended dietary allowance (RDA),which is the intake that would be sufficient for 97% to 98% of the population; and the tolerable upper level (UL), the intake that is unlikely to pose health risks. For women aged 19 to 30 years, the EAR is 60 milligrams per day (mg/d), the RDA is 75 mg/d, and the UL is 2000 mg/d.

(a)The researchers assumed that the distribution of requirements for vitamin C is Normal. The EAR gives the mean. From the definition of the RDA, let's assume that its value is the 97.72 percentile. Use this information to determine the standard deviation of the requirement distribution.

(b). For men aged 19 to 30 years, the EAR is 75 milligrams per day

(mg/d), the RDA is 90 mg/d, and the UL is 2000 mg/d. Answer the questions in the previous exercise for this population.