Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 22 degrees of freedom. [Hint Use symmetry. ] (Round to three decimal places as needed.)

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**Title: Determining T-Values for Statistical Analysis**

---

### Determine the t-value in each of the cases.

Click the icon to view the table of areas under the t-distribution.

---

#### (a) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom.
- **[Round to three decimal places as needed.]**
- [Input box]

#### (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom.
- **[Round to three decimal places as needed.]**
- [Input box]

#### (c) Find the t-value such that the area left of the t-value is 0.02 with 22 degrees of freedom. [Hint: Use symmetry.]
- **[Round to three decimal places as needed.]**
- [Input box]

#### (d) Find the critical t-value that corresponds to 90% confidence. Assume 9 degrees of freedom.
- **[Round to three decimal places as needed.]**
- [Input box]

---

### Note:
- Use the t-distribution table to locate the appropriate t-values based on the specified degrees of freedom and the given tail areas.
- Remember to utilize the symmetry of the t-distribution, especially for part (c).

This guide is structured to help you practice finding t-values for hypothesis testing and confidence intervals, enriching your understanding of statistical concepts.
Transcribed Image Text:**Title: Determining T-Values for Statistical Analysis** --- ### Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. --- #### (a) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. - **[Round to three decimal places as needed.]** - [Input box] #### (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom. - **[Round to three decimal places as needed.]** - [Input box] #### (c) Find the t-value such that the area left of the t-value is 0.02 with 22 degrees of freedom. [Hint: Use symmetry.] - **[Round to three decimal places as needed.]** - [Input box] #### (d) Find the critical t-value that corresponds to 90% confidence. Assume 9 degrees of freedom. - **[Round to three decimal places as needed.]** - [Input box] --- ### Note: - Use the t-distribution table to locate the appropriate t-values based on the specified degrees of freedom and the given tail areas. - Remember to utilize the symmetry of the t-distribution, especially for part (c). This guide is structured to help you practice finding t-values for hypothesis testing and confidence intervals, enriching your understanding of statistical concepts.
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Find the critical​ t-value that corresponds to

98​%

confidence. Assume

29

degrees of freedom.

 

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