Question

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

Answer 1

The critical value of test 1 would be large.

The critical value of test 2 would be small.

Explanation:

Following the t-distribution table, for a one-tailed test with 0.05 (5%) significance level, the critical value decrease with increase in sample size.

With a 5% significance level for test 1, the critical value would be large due to its small sample size.

With a 5% significance level for test 2, the critical value would be small as a result of it's large sample size.