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Statistics - distribution function and median lifetime

  1. Feb 1, 2010 #1
    1. The problem statement, all variables and given/known data

    given distribution function F(t)=1-(1+t)^-c, 0<_t<_infinity, c>0. And that a company claim the median lifetime of a component is at least 7 years and that a component fails after 2.22. Using only this information test the claim that the median lifetime is in fact shorter than 7 years.

    2. Relevant equations

    3. The attempt at a solution

    Setting F(t) equal to a half and solving for t i get the median lifetime is 2^(1/c)-1 years. After that however i'm unsure to proceed. What is an appropriate test in this case involving median?
  2. jcsd
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