Question

Considering what you learned about Hypothesis Testing using a t-statistic, what are the two critical values for a one-sample non-directional t-test at a .05 level of significance, for a sample size of n=32

Answer 1

To determine the critical values for a one-sample non-directional t-test at a 0.05 level of significance, you need to consult the t-distribution table or use statistical software. However, I can provide you with a general approach.

The critical values for a two-tailed (non-directional) t-test with a significance level of 0.05 and degrees of freedom (df) equal to n - 1 can be found in the t-distribution table.

For a one-sample t-test with n = 32 and a significance level of 0.05, the degrees of freedom would be df = 32 - 1 = 31.

You would look up the critical t-values for df = 31 and a two-tailed test at a 0.025 significance level (0.05/2) in the t-distribution table.

Keep in mind that the exact critical values depend on the software or table you are using. If you have access to statistical software like R, Python, or Excel, you can directly calculate these values. Otherwise, you can refer to a t-distribution table to find the critical t-values.