For a t distribution with 12 degrees of freedom,the area between - 2.6810 and 2.1788 is 0.980.

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This statement is false. We can use a t-table or calculator to find that the t-value for the upper 0.99 percentile (0.995) of a t distribution with 12 degrees of freedom is 2.681. The t-value for the lower 0.01 percentile (0.005) is -2.681. Therefore, the area between -2.681 and 2.681 would cover 0.99 (or 99%) of the distribution, not 0.98 as stated in the statement.

For a T Distribution with 12 Degrees of Freedom,the Area