Answered

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Assume that the duration of human pregnancies can be described by a Normal model with mean
265 days and standard deviation 13 days.

​a) What percentage of pregnancies should last between 269 and
277 ​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 55 pregnant patients. 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's the probability that the mean duration of these​ patients' pregnancies will be less than
254 ​days?

Sagot :

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