MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Educational Content on Confidence Intervals**

Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. A 95% confidence level was used. Complete parts (a) and (b) below.

**TInterval Data:**

- **Confidence Interval:** (85.74, 91.76)
- **Sample Mean (x̄):** 88.75 minutes
- **Sample Standard Deviation (Sx):** 8.897431411 minutes
- **Sample Size (n):** 36

(a) **The Point Estimate of μ is:** 88.75 minutes  
(Round to two decimal places as needed.)

(b) **The Margin of Error (E) is:** ______ minutes  
(Round to two decimal places as needed.)

*Instructional Note: The point estimate is the sample mean, which provides the best estimate of the population mean μ. The confidence interval gives a range around this estimate, reflecting the precision of the estimate. The margin of error, E, represents the maximum expected difference between the sample mean and the population mean.* 

**Diagram Explanation:**

There is no diagram in this data display. The information shows numerical data related to a statistical analysis of eruption times. The confidence interval provides an estimate range, indicating where the true mean of the population is likely to fall with 95% confidence.
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Transcribed Image Text:**Educational Content on Confidence Intervals** Refer to the accompanying data display that results from a simple random sample of times (minutes) between eruptions of the Old Faithful geyser. A 95% confidence level was used. Complete parts (a) and (b) below. **TInterval Data:** - **Confidence Interval:** (85.74, 91.76) - **Sample Mean (x̄):** 88.75 minutes - **Sample Standard Deviation (Sx):** 8.897431411 minutes - **Sample Size (n):** 36 (a) **The Point Estimate of μ is:** 88.75 minutes (Round to two decimal places as needed.) (b) **The Margin of Error (E) is:** ______ minutes (Round to two decimal places as needed.) *Instructional Note: The point estimate is the sample mean, which provides the best estimate of the population mean μ. The confidence interval gives a range around this estimate, reflecting the precision of the estimate. The margin of error, E, represents the maximum expected difference between the sample mean and the population mean.* **Diagram Explanation:** There is no diagram in this data display. The information shows numerical data related to a statistical analysis of eruption times. The confidence interval provides an estimate range, indicating where the true mean of the population is likely to fall with 95% confidence.
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