Assume that the duration of human pregnancies can be described by a normal model with mean...

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Assume that the duration of human pregnancies can be described by a normal model with mean...

Assume that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 17 days.

a) What percent of pregnancies should last between 275 and 290 days?

b) At least how many days should the longest 20% of all pregnancies last?

c) Suppose a certain doctor is currently providing prenatal care to 20 pregnant women. According to the Central Limit Theorem, what is the mean of the normal model of the distribution of the sample mean?

d)Suppose a certain doctor is currently providing prenatal care to 20 pregnant women. According to the Central Limit Theorem, what is the standard deviation of the Normal model of the distribution of the sample mean?

e)

Suppose a certain doctor is currently providing prenatal care to 20 pregnant women. What is the probability that the mean duration of these patients' pregnancies will be less than 268 days? (Round your answer to 4 decimal places.)

Hint: What is the probability that

y¯<268

math Statistics-And-Probability

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