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Statistics - Curves and Distribution

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How many curves does t have and what are they related to about the t-distribution?

Is there a restriction on the sample size when s can be used instead of sigma in the statement below?

The standard deviations s1 and s2 can be used when Ó1 and Ó2 are unknown and you believe that the underlying distribution is normal. Then, you would use s1 and s2 with the t-test for hypothesis testing.

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(1) The t-distribution consists of a family of curves, one for every degree of freedom. ...

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