Chrisfandy P.

asked • 08/22/21

Student T Distribution question: Explain how P (t2 < ‐2.92) = 0.05 ?

Is it because of P (t2 < -2.92) being the same as 1 - P (t2 > -2.92), or how?


(The degrees of freedom is 2)

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Jon S. answered • 08/23/21

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Because the t distribution is symmetric, P(t2 < -2.92) = P(t2 > 2.92), which is 0.05.

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David B.

That explains why P (t2 < -2.92)is the same as 1 - P (t2 > -2.92), it does NOT explain why P(t2<-2.92) = .05. The answer to that is that the t distribution with 2 degrees of freedom and a T value -2.92 has a left tail (area under the probability curve to the left or less than -2.92) of .04995 when calculated by computer (or using a table with left or lower than cumulative value). This rounds easily to .05 or 5%
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08/23/21

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