Ho : μ < 2.5, Η : μ > 2.5 n = 16 test statistic = 2.73 p-value: conclusion w.r.t. Ho:
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
Transcribed Image Text:For each of the following hypotheses (including test statistic and other information), find the *p*-value (or its bounds) and draw a basic conclusion with respect to (w.r.t.) \( H_0 \) with 95% confidence. Assume normality in the populations or that the Central Limit Theorem otherwise applies.
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**Hypothesis Testing**
- **Null Hypothesis (\(H_0\))**: \(\mu \leq 2.5\)
- **Alternative Hypothesis (\(H_1\))**: \(\mu > 2.5\)
**Sample Information**
- Sample size (\(n\)): 16
- Test statistic: 2.73
**Analysis**
- **p-value**: [To be filled based on the specific distribution and significance level]
**Conclusion with respect to \(H_0\)**:
- [To be filled based on the comparison of the p-value to the significance level]
---
**Diagram/Graph Interpretation**: There are no graphs or diagrams included in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10115ea5-5f0e-4fb5-b400-8bf897ed7680%2Fbde76c6b-de7b-443b-a9d8-f7c0dc28e0e4%2Fohwf5c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Here is the transcription of the provided image, formatted to appear on an educational website:
---
**Hypothesis Testing**
- **Null Hypothesis (\(H_0\))**: \(\mu \leq 2.5\)
- **Alternative Hypothesis (\(H_1\))**: \(\mu > 2.5\)
**Sample Information**
- Sample size (\(n\)): 16
- Test statistic: 2.73
**Analysis**
- **p-value**: [To be filled based on the specific distribution and significance level]
**Conclusion with respect to \(H_0\)**:
- [To be filled based on the comparison of the p-value to the significance level]
---
**Diagram/Graph Interpretation**: There are no graphs or diagrams included in this image.
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