Foreach value of n look up the value ofStudent\'s t in Appendix D for the stated

Question

Foreach value of n look up the value ofStudent's t in Appendix D for the stated levelof confidence. How close is the t-value to thecorresponding z-value (at the bottom of the columnfor n = )?

Use Appendix D andExcel to find the value of student's t for thegiven level of confidence.

Foreach value of n look up the value ofStudent's t in Appendix D for the stated levelof confidence. How close is the t-value to thecorresponding z-value (at the bottom of the columnfor n = )?

Use Appendix D andExcel to find the value of student's t for thegiven level of confidence.

Explanation / Answer

Requirement1: a) n = 40, 95 percent confidencet0.05,39=2.023.(Arear in two tails) ------------------------------------------------- b) No, the Z-value = 1.96 is not close. Requirement2: a) n = 80, 95 percent confidencet0.05,79=1.994..(Arear in two tails) ------------------------------------------------------ b) No, the Z-value = 1.96 is not close. Requirement3: a) n = 100, 95 percent confidence ist0.05,99=1.984..(Arear in two tails) --------------------------------------------------- b) Yes, the Z-value=1.96 is close. When the value of n is so large, the t value is so close tothe z value.

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