(d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result As the level of confidence increases, the width of the interval This makes sense since the

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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1) increases or decreases

2) margin of error or sample size or point estimate

3) increases as well or decreases as well

The image presents statistical analysis information regarding pH levels from a random sample of 12 rain dates. The data is normally distributed, based on a probability plot, and a boxplot indicates no outliers.

**Data Values**:  
- 5.30, 5.72, 4.89, 4.80  
- 5.02, 4.59, 4.74, 5.19  
- 5.29, 4.76, 4.56, 5.70  

**Instructions for Statistical Analysis**:
1. **95% Confidence Interval**:
   - Use ascending order and round to two decimal places.
   - Answer options:
     - A: Probability that true mean pH is between two values.
     - B: 95% confidence interval between 4.80 and 5.30.
     - C: 95% probability for repeated samples.

2. **99% Confidence Interval**:
   - Use ascending order and round to two decimal places.
   - Answer options:
     - A: 99% confidence with repeated samples.
     - B: Probability that true mean pH is between two values.
     - C: 99% confidence interval between 4.69 and 5.41.

3. **Effect of Confidence Level Change**:
   - Describe the relationship between confidence levels and interval width.
   - Conclusion: Increased confidence level widens the interval.

This information is suitable for educational purposes, demonstrating practical application in statistics, especially in calculating confidence intervals and understanding distributions in environmental data.
Transcribed Image Text:The image presents statistical analysis information regarding pH levels from a random sample of 12 rain dates. The data is normally distributed, based on a probability plot, and a boxplot indicates no outliers. **Data Values**: - 5.30, 5.72, 4.89, 4.80 - 5.02, 4.59, 4.74, 5.19 - 5.29, 4.76, 4.56, 5.70 **Instructions for Statistical Analysis**: 1. **95% Confidence Interval**: - Use ascending order and round to two decimal places. - Answer options: - A: Probability that true mean pH is between two values. - B: 95% confidence interval between 4.80 and 5.30. - C: 95% probability for repeated samples. 2. **99% Confidence Interval**: - Use ascending order and round to two decimal places. - Answer options: - A: 99% confidence with repeated samples. - B: Probability that true mean pH is between two values. - C: 99% confidence interval between 4.69 and 5.41. 3. **Effect of Confidence Level Change**: - Describe the relationship between confidence levels and interval width. - Conclusion: Increased confidence level widens the interval. This information is suitable for educational purposes, demonstrating practical application in statistics, especially in calculating confidence intervals and understanding distributions in environmental data.
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