how to fine this For a 95% confidence level and 14 degrees of freedom (15-1), the t-value is approximately 2.145.
Question
How to find this
For a 95% confidence level and 14 degrees of freedom (15-1), the t-value is approximately 2.145.
Solution
To find the t-value for a 95% confidence level and 14 degrees of freedom, you can follow these steps:
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Identify the confidence level: In this case, the confidence level is 95%.
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Subtract the confidence level from 100% to find the alpha level: 100% - 95% = 5%.
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Divide the alpha level by 2: 5% / 2 = 2.5%. This is because the t-distribution is symmetrical around zero, and we are interested in the area in both tails of the distribution.
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Identify the degrees of freedom. The degrees of freedom are typically calculated as the sample size minus 1. In this case, the degrees of freedom are 14 (15 - 1).
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Use a t-distribution table to find the t-value that corresponds to the 2.5% alpha level (in the tail) and the specific degrees of freedom. In this case, the t-value is approximately 2.145.
Please note that the exact t-value can vary slightly depending on the specific t-distribution table used.
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