Gestation period The length of human pregnancies is approximately normally distributed with mean µ = 266 days and standard deviation σ = 16 days.   What is the probability a randomly selected pregnancy lasts less than 260 days? What is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less? What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less?

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Problem: The height, X, of all 3-year-old females is approximately normally distributed with mean 38.72 inches and standard deviation 3.17 inches. Compute the probability that a simple random sample of size n = 10 results in a sample mean greater than 40 inches. That is, compute P(sample mean >40).

 

 

Gestation period The length of human pregnancies is approximately normally distributed with mean µ = 266 days and standard deviation σ = 16 days.

 

  1. What is the probability a randomly selected pregnancy lasts less than 260 days?
  2. What is the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less?
  3. What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less?
  4. What is the probability a random sample of size 15 will have a mean gestation period within 10 days of the mean?
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