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  • 9.3: Inferences for Two Population Means - Unknown Standard Deviations
    https://stats.libretexts.org/Courses/Las_Positas_College/Math_40%3A_Statistics_and_Probability/09%3A_Inferences_with_Two_Samples/9.03%3A_Inferences_for_Two_Population_Means_-_Unknown_Standard_Deviations
    When one or the other of the sample sizes is small, as is often the case in practice, the Central Limit Theorem does not apply. We must then impose conditions on the population to give statistical val...When one or the other of the sample sizes is small, as is often the case in practice, the Central Limit Theorem does not apply. We must then impose conditions on the population to give statistical validity to the test procedure. We will assume that both populations from which the samples are taken have a normal probability distribution and that their standard deviations are equal.
  • 9.2.2: Small, Independent Samples
    https://stats.libretexts.org/Courses/Fresno_City_College/Math_11%3A_Elementary_Statistics/09%3A_Two-Sample_Problems/9.02%3A_Two_Population_Means_-_Independent_Samples/9.2.02%3A_Small_Independent_Samples
    When one or the other of the sample sizes is small, as is often the case in practice, the Central Limit Theorem does not apply. We must then impose conditions on the population to give statistical val...When one or the other of the sample sizes is small, as is often the case in practice, the Central Limit Theorem does not apply. We must then impose conditions on the population to give statistical validity to the test procedure. We will assume that both populations from which the samples are taken have a normal probability distribution and that their standard deviations are equal.

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