A researcher conducts two t tests. Test 1 is a two-tailed test with a smaller sa

Question

A researcher conducts two t tests. Test 1 is a two-tailed test with a smaller sample size at a .05 level of significance. Test 2 is a two-tailed test with a larger sample size at a .05 level of significance. What do you know about the degrees of freedom for each test?

A.Each test is associated with the same degrees of freedom.

B. Test 1 is associated with larger degrees of freedom.

C. It depends; there is not enough information to answer this question.

D. Test 2 is associated with larger degrees of freedom.

Explanation / Answer

Note that

df = n - 1

Thus, the degrees of freedom increases with increasing sample size. It doesn't depend on anything else.

Thus,

OPTION D. Test 2 is associated with larger degrees of freedom. [ANSWER, D]

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