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The t-value required as the multiplier for a 95% confidence interval for a paired two sample scenario with 26 pairs is

Question

The t-value required as the multiplier for a 95% confidence interval for a paired two sample scenario with 26 pairs is

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Solution

To find the t-value required as the multiplier for a 95% confidence interval for a paired two sample scenario with 26 pairs, you would follow these steps:

  1. Identify the degrees of freedom (df). In a paired two sample scenario, the degrees of freedom is the number of pairs minus 1. So in this case, df = 26 - 1 = 25.

  2. Look up the t-value in a t-distribution table. You want a 95% confidence interval, which leaves 5% in the two tails of the distribution. Since the t-distribution is symmetric, you want the t-value such that 2.5% is in the upper tail.

  3. Using a t-distribution table, or a calculator with a t-distribution function, you find that the t-value for a 95% confidence interval with 25 degrees of freedom is approximately 2.060.

So, the t-value required as the multiplier for a 95% confidence interval for a paired two sample scenario with 26 pairs is approximately 2.060.

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