For the record, this is a homework question, not a test question. Why is the t-distribution...

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For the record, this is a homework question, not a testquestion. Why is the t-distribution sometimes used when calculatinga confidence interval? b) (2 points) In general, is the =t.invvalue larger or smaller than the =norm.inv value for a given levelof confidence. c) (4 points) How do t and z compare as the samplesize increases? Be sure to include a graph in your answer. Yourgraph should include t with a small sample size, t with a largesample size, and z.

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1When the sample size is large ie we use the zdistribution to calculate the confidence intervalbecause for larger sample size the sampling distribution    See Answer
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