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Which of the following statements is true about the t-distribution with k degrees of freedom?
i. the t-distribution is symmetric

ii. the t-distribution with k degrees of freedom has a smaller variance than the t-distribution with k+1 degrees of freedom

iii. the t-distribution has a larger variance than the standard normal (z) distribution

any one, or all three could be right but i don't know which ones are

The first and third are true. The t-distribution is symmetrical; the distribution is lower and the tails are wider than the normal distribution. I think the second one should be k-1 to make the statement true, but check my thinking on that one.

I hope this will help.

  • stat -

    you're right

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