
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:# Confidence Interval and Point Estimate Calculation
## Scenario
As a researcher in a hospital, you are testing a new tranquilizer. You have collected data from a random sample of 8 patients regarding the duration of the drug's effectiveness. The times recorded (in hours) are as follows:
| Hours |
|-------|
| 2.8 |
| 2.2 |
| 2.3 |
| 2.5 |
| 2.7 |
| 3.0 |
| 2.5 |
| 2.6 |
## Questions
1. **Point Estimate Calculation**
What is a point estimate for the population mean length of time? (Round your answer to 2 decimal places)
- Input box for the answer
2. **Requirements for Confidence Interval**
What must be true in order to construct a confidence interval in this situation?
- Dropdown menu for selecting the answer
3. **Confidence Interval Construction**
Construct a 98% confidence interval for the population mean length of time. (Round upper and lower bounds to 2 decimal places)
- Two input boxes for the lower and upper bounds
4. **Understanding Confidence Level**
What does it mean to be "98% confident" in this problem?
- Options:
- 98% of all confidence intervals found using this same sampling technique will contain the population mean time.
- There is a 98% chance that the confidence interval contains the sample mean time.
- The confidence interval contains 98% of all sample times.
- 98% of all times will fall within this interval.
5. **Company Statement**
Suppose the company releases a statement that the mean time for all patients is 2 hours. Is this possible?
- Dropdown menu for selecting the answer
- **Submit Button** for question submission
## Additional Notes
- For each step, ensure calculations are accurate.
- Use appropriate statistical methods for confidence interval estimation.
- Interpret the results clearly to understand the implications of the experiment findings.
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