Question

Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribution with a mean of 14 g/dL and a standard deviation of 1.

From the given data, we can conclude that about people have hemoglobin levels less than 13, and about people have hemoglobin levels greater than 14.

Answer 1

In normal distribution, 68% of the values are within +_ 1 SD. That leaves 32% outside that range. Thus, 32 people with greater than 13, 100 people greater than 14 (200*0.68/2+32)

Answer 2

Explanation:

Given that Alice works at a health care facility. She has measured the hemoglobin levels of 200 people.

Let X be the hemoglobin level of a person

Then X is normal (14, 1)

For X<13, we have

z<-1

Hence probability = 0.16

i.e. 16% or32 people will have hemiglobin below 13.

People who have greater than 14

X>14 means z>0

Hence exactly 50% or 100 people will have hemiglobin levels >14