The total energy need during pregnancy is normally distributed, with mean = 2600 kcal/day and standard

The total energy need during pregnancy is normally distributed, with mean µ = 2600 kcal/day
and standard deviation σ = 50 kcal/day. Source: American Dietetic Association
(a) Is total energy need during pregnancy qualitative or quantitative?
(b) What is the probability that a randomly selected pregnant woman has an energy need of
more than 2625 kcal/day? Is this result unusual?
(c)Describe the sampling distribution of x̅, the sample mean daily energy requirement for a
random sample of 20 pregnant women. What might be the source of variability in the sample
mean?
(d)What is the probability that a random sample of 20 pregnant women has a mean energy need
of more than 2625 kcal/day? Is this result unusual?