Professor Bumbledorf conducts an experiment, analyzes the data, and reports: The 95% confidence interval for the mean ranges from 0.1 to 0.4! №8⁰⁰ my Please mark each of the statements below as "true" or "false". False means that the statement follow logically from Bumbledorf's result. Also note that all, several, or none of the statements correct: 1. The probability that the true mean is greater than 0 is at least 95%. True 2. The probability that the true mean equals 0 is smaller than 5%. 3. The "null hypothesis" that the true mean equals O is likely to be incorrect. 4. There is a 95% probability that the true mean lies between 0.1 True True OFall OFal OFal

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Answer parts 4, 5 and 6 please Thank you.
**Professor Bumbledorf's Experiment and Confidence Interval Analysis**

Professor Bumbledorf conducts an experiment, analyzes the data, and reports:

- "The 95% confidence interval for the mean ranges from 0.1 to 0.4!"

Please review each statement below and determine if it is "True" or "False." A statement marked "False" does not logically follow from Bumbledorf’s result. Note that all, several, or none of the statements may be correct:

1. The probability that the true mean is greater than 0 is at least 95%.
   - ☐ True
   - ☐ False

2. The probability that the true mean equals 0 is smaller than 5%.
   - ☐ True
   - ☐ False

3. The "null hypothesis" that the true mean equals 0 is likely to be incorrect.
   - ☐ True
   - ☐ False

4. There is a 95% probability that the true mean lies between 0.1 and 0.4.
   - ☐ True
   - ☐ False

5. We can be 95% confident that the true mean lies between 0.1 and 0.4.
   - ☐ True
   - ☐ False

6. If we were to repeat the experiment over and over, then 95% of the time the true mean falls between 0.1 and 0.4.
   - ☐ True
   - ☐ False

Please indicate your level of statistical experience from 1 (no statistics courses taken, no practical experience) to 10 (teaching statistics at a university): ________

**Diagram Explanation:**  
The diagram features Professor Bumbledorf, holding a test tube and expressing excitement over his scientific finding about the confidence interval. This illustration emphasizes enthusiasm in statistical analysis, particularly focusing on confidence intervals and hypothesis testing.
Transcribed Image Text:**Professor Bumbledorf's Experiment and Confidence Interval Analysis** Professor Bumbledorf conducts an experiment, analyzes the data, and reports: - "The 95% confidence interval for the mean ranges from 0.1 to 0.4!" Please review each statement below and determine if it is "True" or "False." A statement marked "False" does not logically follow from Bumbledorf’s result. Note that all, several, or none of the statements may be correct: 1. The probability that the true mean is greater than 0 is at least 95%. - ☐ True - ☐ False 2. The probability that the true mean equals 0 is smaller than 5%. - ☐ True - ☐ False 3. The "null hypothesis" that the true mean equals 0 is likely to be incorrect. - ☐ True - ☐ False 4. There is a 95% probability that the true mean lies between 0.1 and 0.4. - ☐ True - ☐ False 5. We can be 95% confident that the true mean lies between 0.1 and 0.4. - ☐ True - ☐ False 6. If we were to repeat the experiment over and over, then 95% of the time the true mean falls between 0.1 and 0.4. - ☐ True - ☐ False Please indicate your level of statistical experience from 1 (no statistics courses taken, no practical experience) to 10 (teaching statistics at a university): ________ **Diagram Explanation:** The diagram features Professor Bumbledorf, holding a test tube and expressing excitement over his scientific finding about the confidence interval. This illustration emphasizes enthusiasm in statistical analysis, particularly focusing on confidence intervals and hypothesis testing.
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