find the value of t such that the area to the left of -t plus the area to the right of t equals t equals 0.05 assume the degrees of freedom equals 8

Since the areas must sum to 0.05, we find for the left tail:

Inverse t distribution (p = 0.025 , df = 8) = -2.306

So t = 2.306

( P(t>2.306) + P(t<-2.306) = 0.05 )

Hope this helped!

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