Final answer:
To find the critical value(s) and rejection region(s) for a two-tailed t-test with a level of significance α and sample size n, we can use critical values from the t-distribution table. For this specific question, a two-tailed test with α = 0.10 and n = 22, we need to find the critical value(s) and rejection region(s).
Step-by-step explanation:
To find the critical value(s) and rejection region(s) for a two-tailed t-test with a level of significance α and sample size n, we can use critical values from the t-distribution table. For this specific question, a two-tailed test with α = 0.10 and n = 22, we need to find the critical value(s) and rejection region(s).
Step 1: Determine the degrees of freedom (df) = n - 1 = 22 - 1 = 21.
Step 2: Divide the level of significance (α) by 2 to get the critical value(s) for each tail. In this case, α/2 = 0.10/2 = 0.05.
Step 3: Look up the critical value(s) for df = 21 and α/2 = 0.05 from the t-distribution table. The critical value for a two-tailed test is ±2.080. This means that the rejection region is all values less than -2.080 and all values greater than +2.080.