Pregnancy Assume that the duration of human pregnan- cies can be described by a Normal model with mean 266 days and standard deviation 16 days. a) What percentage of pregnancies should last between 270 and 280 days? b) At least how many days should the longest 25% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what is the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What is the probability that the mean duration of these patients' pregnancies will be less than 260 days?

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Pregnancy Assume that the duration of human pregnan-
cies can be described by a Normal model with mean 266
days and standard deviation 16 days.
a) What percentage of pregnancies should last between
270 and 280 days?
b) At least how many days should the longest 25% of all
pregnancies last?
c) Suppose a certain obstetrician is currently providing
prenatal care to 60 pregnant women. Let y represent
the mean length of their pregnancies. According to
the Central Limit Theorem, what is the distribution of
this sample mean, y? Specify the model, mean, and
standard deviation.
d) What is the probability that the mean duration of
these patients' pregnancies will be less than 260 days?
Transcribed Image Text:Pregnancy Assume that the duration of human pregnan- cies can be described by a Normal model with mean 266 days and standard deviation 16 days. a) What percentage of pregnancies should last between 270 and 280 days? b) At least how many days should the longest 25% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what is the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What is the probability that the mean duration of these patients' pregnancies will be less than 260 days?
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