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The length of human pregnancies is approximately normally distributed with mean= 266 days and SD=16 days. a) Suppose a random sample of 20 pregnancies is

The length of human pregnancies is approximately normally distributed with mean= 266 days and SD=16 days.

a) Suppose a random sample of 20 pregnancies is selected. Describe the sampling distribution of the SAMPLE MEAN length of human pregnancies.

b) What is the probability that a RANDOM Sample of 20 pregnancies has a mean gestation period of 260 days or less?

c) What is the probability that a RANDOM SAMPLE OF 50 pregnancies has a mean gestation period of 260 days or less?

d) What might you conclude if a RANDOM SAMPLE OF 50 pregnancies resulted in a mean gestation period of 260 days or less?

e) What is the probability that a RANDOM sample of 15 pregnancies will have a mean gestation period within 10 days of the mean?

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