Do the following for the specified one-mean t-test. a. Use a t-table to estimate the P-value. b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be rejected, and at which significance levels it is not possible to decide. Two-tailed test, n= 17, and t= -1.425 Click here to view page 1 of the t-table. Click here to view page 2 of the t-table. a. The P-value is and we cannot reject Ho for For significance levels b. We can reject Ho for er the t-table is not sufficiently detailed in order to decide whether to reject Ho.

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**One-Mean T-Test Analysis**

### Objective:
Conduct a one-mean t-test using the provided data and determine the P-value, then analyze the significance levels for rejecting or not rejecting the null hypothesis \( H_0 \).

### Procedure:

#### a. Estimate the P-value using a t-table:
- **Two-tailed test**
- Sample size \((n)\): 17
- t-value: -1.425

Links to the t-table for reference:
- [Page 1 of the t-table](#)
- [Page 2 of the t-table](#)

#### b. Significance Levels Analysis:
Based on the P-value estimated in part (a), state:
- The significance levels at which the null hypothesis can be rejected.
- The significance levels at which the null hypothesis cannot be rejected.
- The significance levels where the decision about the null hypothesis cannot be concluded due to insufficient detail in the t-table.

#### Input Fields:
1. **The P-value is**
   - [Dropdown selection]

2. **We can reject \( H_0 \) for**
   - [Dropdown selection]

3. **We cannot reject \( H_0 \) for**
   - [Dropdown selection]

4. **For significance levels**: If the t-table is not sufficiently detailed to make a decision, indicate this.

Click the "Select your answer(s)" button to provide your inputs.

>Note: Ensure to refer to the appropriate t-table values for accurate P-value estimation and hypothesis testing.

---

**Explanation of Graphs/Diagrams:**
- There are no graphs or diagrams in this prompt.
- The interactive elements include dropdown selections for P-value and significance levels analysis.
  
> This t-test analysis helps in determining the statistical significance of the sample data, providing insights into whether the null hypothesis \( H_0 \) can be reasonably rejected or not.
Transcribed Image Text:**One-Mean T-Test Analysis** ### Objective: Conduct a one-mean t-test using the provided data and determine the P-value, then analyze the significance levels for rejecting or not rejecting the null hypothesis \( H_0 \). ### Procedure: #### a. Estimate the P-value using a t-table: - **Two-tailed test** - Sample size \((n)\): 17 - t-value: -1.425 Links to the t-table for reference: - [Page 1 of the t-table](#) - [Page 2 of the t-table](#) #### b. Significance Levels Analysis: Based on the P-value estimated in part (a), state: - The significance levels at which the null hypothesis can be rejected. - The significance levels at which the null hypothesis cannot be rejected. - The significance levels where the decision about the null hypothesis cannot be concluded due to insufficient detail in the t-table. #### Input Fields: 1. **The P-value is** - [Dropdown selection] 2. **We can reject \( H_0 \) for** - [Dropdown selection] 3. **We cannot reject \( H_0 \) for** - [Dropdown selection] 4. **For significance levels**: If the t-table is not sufficiently detailed to make a decision, indicate this. Click the "Select your answer(s)" button to provide your inputs. >Note: Ensure to refer to the appropriate t-table values for accurate P-value estimation and hypothesis testing. --- **Explanation of Graphs/Diagrams:** - There are no graphs or diagrams in this prompt. - The interactive elements include dropdown selections for P-value and significance levels analysis. > This t-test analysis helps in determining the statistical significance of the sample data, providing insights into whether the null hypothesis \( H_0 \) can be reasonably rejected or not.
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