Question

Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.) (a) Confidence level = 95%, df = 5 2.571 (b) Confidence level = 95%, df = 20 2.086 (c) Confidence level = 99%, df = 20 2.845 x (d) Confidence level = 99%, n = 5 4.604 (e) Confidence level = 97.5%, df = 23 2.398 (f) Confidence level = 99%, n = 36 2.724 You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

a) Using t-table, the critical value for a lower or an upper confidence bound at that 0.05 level of significance with 5 degrees of freedom is, 2.015 Using t-table, the critical value for a lower or an upper confidence bound at that 0.05 level of significance with 20 degrees of freedom is, 1.725 Using t-table, the critical value for a lower or an upper confidence bound at that 0.01 level of significance with 20 degrees of freedom is, 2.528 d) Using t-table, the critical value for a lower or an upper confidence bound at that 0.01 level of significance with 5 degrees of freedom is, 3.365

Using t-table, the critical value for a lower or an upper confidence bound at that 0.025 level of significance with 23 degrees of freedom is, 2.069 f) Using t-table, the critical value for a lower or an upper confidence bound at that 0.01 level of significance with 36 degrees of freedom is, 2.434