The t-distribution can be used to test hypotheses about the difference between two population means given the following two assumptions: - each population is normally distributed, and - the two populations have equal variances.

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The t-distribution is indeed used for hypothesis testing about the difference between two population means under the conditions that each population is normally distributed and that the two populations have equal variances. This is a common scenario in statistics when dealing with small sample sizes and when the population standard deviations are unknown.

The T-Distribution Can Be Used to Test Hypotheses About the Difference