T.s value for degree of freedom 441 at 0.05 significance level

To find the critical value \( t \) (also known as the \( t \)-score or \( t \)-value) for a degree of freedom (df) of 441 at a 0.05 significance level, you need to know whether it's a one-tailed or two-tailed test:

1. **Two-tailed test**: Here, the significance level is split between both tails of the distribution, so each tail has an area of 0.025.
2. **One-tailed test**: The entire significance level is in one tail, so the tail area is 0.05.

For a degree of freedom \( \text{df} = 441 \):

- **Two-tailed test**: The critical value is approximately **±1.965**.
- **One-tailed test**: The critical value is approximately **1.648** (for the positive tail).

These values can be found using a \( t \)-distribution table or a calculator/software that supports statistical functions.

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. How does the degree of freedom affect the shape of the \( t \)-distribution?
2. What is the critical value for a \( t \)-test with 30 degrees of freedom at a 0.01 significance level?
3. How do you interpret a \( t \)-value in hypothesis testing?
4. What is the difference between a \( t \)-distribution and a normal distribution?
5. How do you calculate the p-value from a \( t \)-statistic?

**Tip:** Always check whether your test is one-tailed or two-tailed when determining the critical value from the \( t \)-distribution.

Discover how to find the critical T-distribution value for a degree of freedom of 441 at a 0.05 significance level. Understand the nuances between one-tailed and two-tailed tests with practical examples. Suitable for advanced students and professionals in statistics.

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