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Suppose that X1.....Xn form a random sample from a normal distribuiton for which both the mean mu and variance s^2 are unknown; and let the random variable L denote the length of the shortest confidence interval for mu that can be constructed from the observed values in the sample. Find the value E(L^2) for sample size n = 8 and confidence coefficient c = 0.95.
  • 2.8 s^2
  • 3
  • mu^2 + 3 s^2
  • s^2
  • 5 s^2
  • *****
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified: Wed May 13 12:29:11 EDT 1998