Question: It can be shown (proof omitted) that as the sample size n increases, the T distribution tends to normality and the value t ,
It can be shown (proof omitted) that as the sample size n increases, the T distribution tends to normality and the value tα, such that P(T > tα) = α, approaches the value zα, such that P(Z > zα) = 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.
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