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Assume that we have independent random samples of size  n x  and  n y  observati...

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Assume that we have independent random samples of size nx and nobservations from normal populations with means μx and μy and unequal variances. The sample variances,  and , are used and the means are  and . Which of the following formulae is used to calculate the degrees of freedom, v, for the statistic where the variances are unknown and assumed unequal?
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