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Math Help - tow sample t test

  1. #1
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    tow sample t test

    Verify that the two sample t test at level x of H0= mu_x=mu_y versus Ha: mu_x not equal to mu_y rejects if and only if the confidence interval for mu_x-mu_y does not contain zero.


    I know this statement is true...but I don't know how to verify mathmatically...Anyone could help? Thanks!
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  2. #2
    MHF Contributor matheagle's Avatar
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    Just play with the TOW (2) endpoint and the test statistic.
    BUT there are several case, mainly based on knowing if the TOW population variances are equal or not.
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