In order to construct an interval estimate for the difference in the means of two normally distributed populations with unknown but equal variances, using two independent samples of size n₁ and n₂, we must use a t distribution with (n₁+ n₂− 2)degrees of freedom.

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This statement is true. When constructing an interval estimate for the difference in means of two normally distributed populations with unknown but equal variances, we use a t distribution with (n1 + n2 - 2) degrees of freedom.

In Order to Construct an Interval Estimate for the Difference