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V125BC
14 days ago
13

Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut

ion 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.
Mathematics
2 answers:
PIT_PIT [9.1K]14 days ago
5 0
In a normal distribution, 68% of values fall within plus or minus 1 standard deviation. This means that 32% of values exist outside this interval. Consequently, this results in 32 individuals having levels higher than 13 and 100 individuals exceeding 14 (calculated as 200*0.68/2+32).
Leona [9.2K]14 days ago
5 0

Answer:

Step-by-step explanation:

Alice works at a health care facility where she measured hemoglobin levels for 200 individuals.

Let X represent the hemoglobin level of a person

Thus, X follows a normal distribution (14, 1)

For values of X<13, we find

z<-1

Therefore, the probability equals 0.16

i.e. 16% or 32 individuals will have hemoglobin below 13.

As for those having levels greater than 14

X>14 indicates z>0

Thus, exactly 50% or 100 individuals will exhibit hemoglobin levels >14

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