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Assume that the duration of human pregnancy can be described by a Normal model with mean 266 days and standard deviation 16 days.

1. What is the probability that the duration of the pregnancy of a randomly chosen pregnant woman will last less than 260 days?

Suppose a certain obstetrician is currently providing prenatal care to 60 pregnant women. Consider the sample mean duration of the pregnancies of the 60 pregnant women.

2. What is the mean of the sampling distribution of the sample mean?

3. What is the standard deviation of the sampling distribution of the sample mean?

4. What is the model for the sampling distribution?

5. What is the probability that the sample mean duration of the 60 pregnant women will be less than 260 days? Explain why this answer is different from the answer to part 36.

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