Question

Is this correct and why?

Answer 1

Answer:

For a given confidence level, t* is never smaller than z*.

Step-by-step explanation:

t* and z* are the critical value of a confidence interval.  For example, at 95% confidence, z* = 1.96.  This is because 95% of a normal curve is within ±1.96 standard deviations.

A student's t distribution has the same bell-curve shape as a normal distribution, but is shorter and wider, which is why t* is always larger than z*.  As the sample size increases to infinity, the distribution approaches normal.