In: Statistics and Probability
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value ?∗t∗ for the given sample size and confidence level. Round critical t values to 4 decimal places.
| Sample size, n | Confidence level | Degree of Freedom | Critical value, ?∗t∗ | 
| 12 | 90 | ||
| 15 | 95 | ||
| 26 | 98 | ||
| 28 | 99 | 
The answer is:
| Sample size, n | Confidence level | Degree of Freedom | Critical value, ?∗ | 
| 12 | 90 | 11 | 1.7959 | 
| 15 | 95 | 14 | 2.1448 | 
| 26 | 98 | 25 | 2.4851 | 
| 28 | 99 | 27 | 2.7707 | 
You can either use Excel or the following t table extract to find the critical value:

Excel Formulas:

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