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What is the area under the curve of a T-Distribution to the right of 2.086 with 25 degrees of freedom?

Question

What is the area under the curve of a T-Distribution to the right of 2.086 with 25 degrees of freedom?

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Solution

To find the area under the curve of a T-Distribution to the right of 2.086 with 25 degrees of freedom, you would use the cumulative distribution function (CDF) for a T-Distribution. However, the CDF gives the area under the curve to the left of the given value. So, you would need to subtract the CDF value from 1 to get the area to the right.

Here are the steps:

  1. Identify the degrees of freedom (df). In this case, df = 25.

  2. Identify the t-value. In this case, t = 2.086.

  3. Use a T-Distribution table or a statistical software to find the CDF value corresponding to these values.

  4. Subtract the CDF value from 1 to get the area to the right of the given t-value.

Please note that the exact value might depend on the specific T-Distribution table or software you use.

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