17.11 Quick revision questions

Consider again the model for tree diameters in Example 17.7 (Aedo-Ortiz et al. 1997): a normal distribution with \(\mu=8.8\) inches, and \(\sigma=2.7\) inches.

  1. A tree diameter of 7.9 inches corresponds to a \(z\)-score (to two decimal places) of:
  2. The probability that a tree has a diameter less than 7.9 inches is (as a decimal value):
  3. The probability that a tree has a diameter greater than 7.9 inches is (as a decimal value):
  4. A tree diameter of 9 inches corresponds to a \(z\)-score (to two decimal places) of (as a decimal value):
  5. The probability that a tree has a diameter less than 9 inches is (as a decimal value):
  6. The probability that a tree has a diameter greater than 9 inches is (as a decimal value):

References

Aedo-Ortiz DM, Olsen ED, Kellogg LD. Simulating a harvester-forwarder softwood thinning: A software evaluation. Forest Products Journal. 1997;47(5):36–41.