When does the t-statistic approximate the z-statistic


Discussion:

Q1: Why is a t-statistic as opposed to a z-statistic used to test small samples? Does the choice of test statistic alter how you employ the 5-step hypothesis testing procedure?

Q2: When testing two populations with small sample sizes, do both sample sizes have to be the same size?

Q3: When does the t-statistic approximate the z-statistic? What is the significance of the pictures at the top of the t-statistic table and the z-statistic table

 

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Basic Statistics: When does the t-statistic approximate the z-statistic
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