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Problem: For the population of females between the ages of 3 and 74 who participated in the National Health Interview Survey, the distribution of hemoglobin levels has mean µ = 13.3 g/100 ml and standard deviation σ = 1.12 g/100 ml.
(a) What proportion of females in this population have a hemoglobin level between 13.0 and 13.5 g/100 ml?
(b) If repeated samples of size 15 are selected from this population, what proportion of the samples will have a mean hemoglobin level between 13.0 and 13.5 g/100 ml?
(c) If the repeated samples of size 30 are taken from this population, what proportion will have a mean between 13.0 and 13.5 g/100 ml?
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