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Math Help - test stat derivation

  1. #1
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    test stat derivation

    Eight machines in an experiment under standard conditions, produced quantities x_{1},x_{2},,,,,x_{8} of their product. When the experiment was repeated, under the same conditions except for the use of a different lubricant, the machines produced y_{1},y_{2},,,,y_{8}. If \sum(x_{r})=8.73 \sum(y_{r})=9.21 and \sum(y_{r}-x_{r})^2=0.051 is there evidence that the lubricant has improved productivity? Explain the assumptions made in the analysis. the sums are from the subscripts 1 to 8. Does anyone have any idea how to derivate the test stat 3.01 given in the answers? Presumably the varience is known but im having some difficulty getting it, thanks ok i think you use normal and treat the differance somehow as one sample, still cant get s.d
    Last edited by oxrigby; March 28th 2009 at 12:58 PM.
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