For a confidence level of 98% with a sample size of 25, find the critical t value.

MATLAB: An Introduction with Applications
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**Finding the Critical t Value**

For a confidence level of 98% with a sample size of 25, find the critical t value.

**Explanation:**

When you perform statistical analyses that involve a sample rather than a population, finding the critical t value is essential for constructing confidence intervals or conducting hypothesis tests. This value is determined from the t-distribution, which is appropriate when dealing with smaller sample sizes and unknown population standard deviations.

Here, you need to identify the critical t value corresponding to a sample size of 25 at a 98% confidence level. The sample size provides the degrees of freedom (df), which can be calculated as \(df = n - 1\), where \(n\) is the sample size.

Thus, for this scenario:
- Sample size \(n = 25\)
- Degrees of freedom \(df = 25 - 1 = 24\)
- Confidence level = 98%

By using a t-distribution table or statistical software, you can find the t value associated with these parameters.
Transcribed Image Text:**Finding the Critical t Value** For a confidence level of 98% with a sample size of 25, find the critical t value. **Explanation:** When you perform statistical analyses that involve a sample rather than a population, finding the critical t value is essential for constructing confidence intervals or conducting hypothesis tests. This value is determined from the t-distribution, which is appropriate when dealing with smaller sample sizes and unknown population standard deviations. Here, you need to identify the critical t value corresponding to a sample size of 25 at a 98% confidence level. The sample size provides the degrees of freedom (df), which can be calculated as \(df = n - 1\), where \(n\) is the sample size. Thus, for this scenario: - Sample size \(n = 25\) - Degrees of freedom \(df = 25 - 1 = 24\) - Confidence level = 98% By using a t-distribution table or statistical software, you can find the t value associated with these parameters.
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