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Is this correct and why?

Is this correct and why?-example-1

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Answer:

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

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.

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