Answer to Question #307834 in Statistics and Probability for Marie

Question

T distribution with 19 degrees of freedom. If the total area shaded is 0.05, what is the area to the left of t1?

Answer 1

Since the area to the right = 0.05,

For 19 degrees of freedom and $\alpha$ =0.05, we find that the critical value t = 1.729

Therefore, the area to the left = P(t<1.729)

From t distribution table

P(t<1.729) = 0.05

Answer: 0.05