In this section, we introduced the pooled t test, which provides a method for comparing two population means In deriving the pooled t test, we stated that the variable z (x1 x2) (1 2) (1 n1) (1 n2) cannot be used as a basis for the required test statistic because is unknown Why cant that variable be used as a basis for the required test statistic

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Question: In this section, we introduced the pooled t-test, which provides a method for comparing two population means. In deriving the pooled t-test, we stated that

In this section, we introduced the pooled t-test, which provides a method for comparing two population means. In deriving the pooled t-test, we stated that the variable z = (x¯1 − x¯2) − (μ1 − μ2)

√(1/n1) + (1/n2)

cannot be used as a basis for the required test statistic because σ is unknown. Why can’t that variable be used as a basis for the required test statistic?

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