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For the population of infants subjected to fetal surgery for congenital anomalies, the distribution of gestational...

For the population of infants subjected to fetal surgery for congenital anomalies, the distribution of gestational ages at birth is approximately normal with unknown mean μ and standard deviation σ. A random sample of 16 such infants has mean gestational age x̅ = 32.9 weeks and standard deviation s = 4.5 weeks.

  1. Construct a 95% confidence interval for the true population mean μ.
  2. What is the length of this interval?
  3. How large a sample would be required for the 95% confidence interval to have length 3 weeks? Assume that the population standard deviation σ = 4.5 weeks.
  4. How large a sample would be needed for the 95% confidence interval to have length 2 weeks? Assume that the population standard deviation σ = 4.5 weeks.
Math   Statistics-And-Probability   
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