Calculating t Critical Values with t Distribution Table

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Questions and Answers

Given a right-tailed distribution with 18 degrees of freedom and a significance level of 0.01, what is the correct t critical value?

  • -2.878
  • 1.734
  • 2.583 (correct)
  • -2.878

For a left-tailed distribution with a significance level of 0.05 and 30 degrees of freedom, what would be the t critical value?

  • 1.414
  • -1.697 (correct)
  • 1.697
  • -1.414

In a two-tailed distribution with 20 degrees of freedom, what t critical values would you use for a significance level of 0.025?

  • -1.729, 1.729
  • -2.086, 2.086 (correct)
  • -2.160, 2.160
  • -2.527, 2.527

If you have a right-tailed distribution with 25 degrees of freedom and a significance level of 0.10, what is the correct t critical value?

<p>1.316 (B)</p> Signup and view all the answers

When given a left-tailed distribution with 15 degrees of freedom and a significance level of 0.025, what would be the appropriate t critical value?

<p>-2.131 (C)</p> Signup and view all the answers

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Study Notes

  • Using the t distribution table to obtain t critical values involves selecting rows for the tail type, columns for significance levels, and rows for degrees of freedom.
  • In a left-tailed distribution with a significance level of 0.10 and 14 degrees of freedom, the t critical value is -1.345.
  • For a right-tailed distribution with a significance level of 0.05 and 24 degrees of freedom, the t critical value can be found by selecting the appropriate values.
  • In a two-tailed distribution with a significance level of 0.01 and 34 degrees of freedom, the process of selecting the t critical value follows a similar pattern as in the other examples.

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