Question

for a two-tailed test and a sample of 15 observations at 10% significance level, the critical value of t is (hint: you are given the sample size, not the degrees of freedom)

Answer 1

To find the critical value of t for a two-tailed test with a 10% significance level and 14 degrees of freedom, one must consult a t-distribution table or statistical software for the 5th and 95th percentiles.

• The question asks for the critical value of t for a two-tailed test with a sample size of 15, which corresponds to 14 degrees of freedom (since degrees of freedom are calculated as the sample size minus one).
• For a 10% significance level, we would look up a t-distribution table or use a statistical software to find the critical t-value that bounds the middle 90% of the distribution.
• The critical values will therefore be found at the 5th and 95th percentiles of the t-distribution with 14 degrees of freedom.
• The exact values can vary slightly based on the source of the t-distribution table or statistical software used.