It can be shown (proof omitted) that as the sample size n increases, the T distribution tends to normality and the value t , such that P(T t ) , approaches the value z , such that P(Z z ) Use Table 7 of Appendix B to verify that as the sample size n gets infinitely large, t 05 z 05 , t 025 z 025 , ...

As the sample size increases the T distribution tends to ...

It can be shown (proof omitted) that as the sample size n increases, the T distribution tends

Question:

It can be shown (proof omitted) that as the sample size n increases, the T distribution tends to normality and the value t_α, such that P(T > t_α) = α, approaches the value z_α, such that P(Z > z_α) = α. Use Table 7 of Appendix B to verify that as the sample size n gets infinitely large, t_.05 = z_.05, t_.025 = z_.025, and t_.01 = z_.01.