1/20/2010

• Questions on estimation activity
• Moment generating function (m.g.f.)
  • Find the m.g.f. of a standard normal random variable Z
  • If Z is a standard normal random variable, find the distribution of X = mu + sigma*Z.
  • Use the m.g.f. to show that a linear transformation of a normal random variable will also have a normal distribution.
  • Use the m.g.f. to show that the sum of independent normal random variables will also have a normal distribution
• Simulation (return to the applets and an activity with Minitab)
  • Simulate the distributions of the mean and median for Normal data.
  • Simulate the distributions of the mean and median for Cauchy data.
  • Simulate the distributions of the standard deviation and the range.
• We will have our first problem session on Friday.