e that the helium porosity (in percentage) of coal samples tal (a) Compute a 95% CI for the true average porosity of a ce decimal places.) (b) Compute a 98% CI for true average porosity of another decimal places.) (c) How large a sample size is necessary if the width of the specimens
e that the helium porosity (in percentage) of coal samples tal (a) Compute a 95% CI for the true average porosity of a ce decimal places.) (b) Compute a 98% CI for true average porosity of another decimal places.) (c) How large a sample size is necessary if the width of the specimens
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Title: Understanding Helium Porosity in Coal Samples**
**Instructions:**
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with a true standard deviation of 0.76.
1. **Compute a 95% CI for the true average porosity of a certain seam** if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to two decimal places)
- [ ]
2. **Compute a 98% CI for the true average porosity of another seam** based on 15 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places)
- [ ]
3. **How large a sample size is necessary if the width of the 95% interval is to be 0.30?** (Round your answer up to the nearest whole number)
- [ ]
4. **What sample size is necessary to estimate true average porosity to within 0.23 with 99% confidence?** (Round your answer up to the nearest whole number)
- [ ]
*Note: You may need to use the appropriate table in the Appendix of Tables to answer this question.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F379782e3-36e2-4b06-9a33-e2601af30423%2F90ef69bd-2208-4cd2-af12-8c838bdbc424%2Fk6zhsni_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Helium Porosity in Coal Samples**
**Instructions:**
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with a true standard deviation of 0.76.
1. **Compute a 95% CI for the true average porosity of a certain seam** if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to two decimal places)
- [ ]
2. **Compute a 98% CI for the true average porosity of another seam** based on 15 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places)
- [ ]
3. **How large a sample size is necessary if the width of the 95% interval is to be 0.30?** (Round your answer up to the nearest whole number)
- [ ]
4. **What sample size is necessary to estimate true average porosity to within 0.23 with 99% confidence?** (Round your answer up to the nearest whole number)
- [ ]
*Note: You may need to use the appropriate table in the Appendix of Tables to answer this question.*
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Assure that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.76
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