A) The distribution of hemoglobin amon newborns is approximately normal, with a

Question

A) The distribution of hemoglobin amon newborns is approximately normal, with a mean of 17g/dL and a SD of 3g/dL. Values within the middle 95% of the distribution are considered normal. What is the normal range of hemoglobin for this population?

B) A neonatologist treats newborns if their hemoglobin level is outside the middle 85% of the distribution. What are the upper and lower levels of hemoglobin that will trigger treatment?

C) A newborn has hemoglobin of 25g/dL. What percentile does this level correspond to in this population? (For example, 70% of the neonates have lower hemoglobin levels, and 30% have higher levels than this newborn).

Explanation / Answer

A) Range is mu_2 sigma to mu+2 sigma

17-2*3 to 17+2*3=11g/dL to 23g/dL

C) Xi=25, Xbar=17, s=3. Compute Z score.

Z=(Xi-Xbar)/s

=(25-17)/3

=2.67

Percentile is 99.2415 [1-area corresponding to z=2.67]

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