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Let X i , i = 1,2,3, be independent with n ( i , i 2 ) distributions. For each of the following situations, use

Let Xi,i= 1,2,3, be independent with n(i,i2) distributions. For each of the following situations, use the Xis to construct a statistic with the indicated distribution.

  • chi squared with 3 degrees of freedom
  • t distribution with 2 degrees of freedom
  • F distribution with 1 and 2 degrees of freedom

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