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The length of a women's pregnancies are normally distributed with a population mean of 266 days...

The length of a women's pregnancies are normally distributed with a population mean of 266 days and a population standard deviation of 16 days.

a. What is the probability of a randomly selected pregnancy lasts less than 260 days?

b. A random sample of 20 pregnancies were obtained. Describe the sampling distribution of the sample mean length of pregnancies (eg. Is it approximately normally distributed? Why or why not? What are the mean and standard deviation?

c. What is the probability that a random sample size of 20 will have a mean gestation period less than 260 days?

d. What is the probability that a random sample size of 20 will have a mean gestation period within 20 days of the population mean?

Math   Statistics-And-Probability   
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