For a confidence level of 80% with a sample size of 26, find the critical T value.
Please help
To find the critical T value for a given confidence level and sample size, you can use a T-distribution table or a statistical software.
Since you mentioned a confidence level of 80% and a sample size of 26, the steps to find the critical T value are as follows:
1. Determine the degrees of freedom (df): For a sample size of 26, the degrees of freedom equals the sample size minus one. Therefore, df = 26 - 1 = 25.
2. Determine the level of significance (alpha): The confidence level is 80%, which means the level of significance is 1 - confidence level, or 1 - 0.80 = 0.20.
3. Find the critical T value: Use a T-distribution table or statistical software and look for the T value that corresponds to a cumulative probability of 1 - alpha in the tails of the distribution. In this case, you need to find the T value that corresponds to a cumulative probability of 0.20/2 = 0.10 in each tail (since the distribution is symmetric).
For example, using a T-distribution table, you would locate the row that corresponds to the degrees of freedom (25) and column that corresponds to the desired cumulative probability (0.10). The intersection of the row and column will give you the critical T value.
Alternatively, you can use statistical software or calculators, such as Microsoft Excel, to directly calculate the critical T value.
Please note that the specific critical T value will depend on the particular T-distribution table or statistical software used.