The length of human pregnancies is approximately normally distributed with mean ? = 266 days and standard deviation ? = 16 days. a.) What is the probability a randomly selected pregnancy lasts less than 260 days? b.) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution of the sample mean length of human pregnancies. c.) What is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less? Draw a graph that represents the probability. d.) What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less? Draw a graph that represents the probability.

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The length of human pregnancies is approximately normally distributed with mean ? = 266 days and
standard deviation ? = 16 days.
a.) What is the probability a randomly selected pregnancy lasts less than 260 days?
b.) Suppose a random sample of 20 pregnancies is obtained. Describe the sampling distribution
of the sample mean length of human pregnancies.
c.) What is the probability that a random sample of 20 pregnancies has a mean gestation period
of 260 days or less? Draw a graph that represents the probability.
d.) What is the probability that a random sample of 50 pregnancies has a mean gestation period
of 260 days or less? Draw a graph that represents the probability.

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