Question

True or False: The critical t value at a given level of significance is more extreme for a two-tailed test than for a one-tailed test.

Answer 1

Solution:

The critical t-value for two-tailed test at a given significance level is more extreme for a two-tailed test than for a one-tailed test.

The given statement is True.

Let's us take an example.

At significance level of 0.01 and 24 degrees of freedom the two-tailed critical value is as follows:

At significance level of 0.01 and 24 degrees of freedom the one-tailed (upper tailed) critical t value is as follows:

Clearly we can see that critical t value for two-tailed test is greater than the critical t-value for one-tailed test.

Hence, the given statement is true.

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