7. For the population of females between the ages of 3 and 74 who participated in the Na- tional Health Interview Survey, the distribution of hemoglobin levels has mean µ = 13.3 g/100 ml and standard deviation o = 1.12 g/100 ml. (a) What proportion of femates 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 are of size 30, what proportion will have a mean between 13.0 and 13.5 g/100 ml?

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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 a mean \( \mu = 13.3 \, \text{g/100 ml} \) and a standard deviation \( \sigma = 1.12 \, \text{g/100 ml} \).

(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 are of size 30, what proportion will have a mean between 13.0 and 13.5 g/100 ml?
Transcribed Image Text: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 a mean \( \mu = 13.3 \, \text{g/100 ml} \) and a standard deviation \( \sigma = 1.12 \, \text{g/100 ml} \). (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 are of size 30, what proportion will have a mean between 13.0 and 13.5 g/100 ml?
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