follows Student's t distribution with k df. A t-distributed variable is often designated as tk, where the subscript k denotes the df. Geometrically, the t distribution is shown in Figure A.6.

Properties of the Student's t distribution are as follows:

1. As Figure A.6 shows, the t distribution, like the normal distribution, is symmetrical, but it is flatter than the normal distribution. But as the df increase, the t distribution approximates the normal distribution.

2. The mean of the t distribution is zero, and its variance is k/(k — 2).

The t distribution is tabulated in Table D.2.

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