We know that the "upper tail probability" of 3 under the Z distribution, P(Z > 3), is roughly .0015 (using the 99.7% part of the Standard Deviation Rule for the normal distributions). Which of the following do you think is the upper tail probability of 3 under the t distribution in the figure above?

The 95th percentile of the Z distribution is 1.645, since P(Z < 1.645) = .95, or P(Z > 1.645) = .05. Which of the following do you think is the 95th percentile of the t distribution in the figure above?