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Suppose that a single observation X is to be drawn from the following p.d.f.: f(x|theta) = { 2(1 - theta)x + theta for 0 <= x <= 1} and 0 otherwise. where the value of theta is unknown (0 <= theta <= 2). Suppose also that the following hypotheses are to be tested: H0 : theta = 2, H1 : theta = 0. Determine the test procedure delta for which alpha(delta) + 2beta(delta) is a minimum, and calculate the minimum value. The minimum value is closest to:
  • 2
  • 1.5
  • 1.75
  • 2.27
  • 1
  • *****
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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