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Which of the following statements is true?

I. The area under the $t$-distribution curve to the right of a positive $t$ value with $6$ degrees of freedom is larger than the area to the right of the same t value with $18$ degrees of freedom.

II. The higher the degrees of freedom, the closer the $t$-distribution is to the standard normal distribution.

III. The $t$-distribution is appropriate to use when the population standard deviation is known.


I only.


II only.


III only.


I and II only.


II and III only.

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