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This article concludes that Student's t statistic is a forgiving or safe statistic in the presence of unequal variances. More generally, for every weighted mean 
, there is a corresponding weighted sum of deviations squared S
w,0
2, which together with the mean defines a safe Student-like test statistic. These results imply that the choice of weights in 
need not be all that precise, provided a compensation is made via S
w,0. Such is the case in the example considered.
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