4)A new procedure for the determination of sulfur in coal was tested on a standard coal sample with certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error.
4)A new procedure for the determination of sulfur in coal was tested on a standard coal sample with certified value of 2.14% sulfur by mass. The new procedure gave results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% for five separate determinations. a) Does the new procedure give the correct result at the 95% confidence level? b) Does the new procedure give the correct result at the 90% confidence level? c) Based on your answers to parts (a) and (b), fill in the blank in the following statement: There is at least a % chance that the difference between the certified value and the values obtained by the new procedure is due to random error.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please Literal C, and with the answers a and b why these answers give the correct result for a and b
![**A new procedure for the determination of sulfur in coal**
A new procedure for determining sulfur content in coal was tested using a standard coal sample with a certified value of 2.14% sulfur by mass. The procedure yielded results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% from five separate tests.
**Questions:**
a) Does the new procedure give the correct result at the 95% confidence level?
b) Does the new procedure give the correct result at the 90% confidence level?
c) Based on your answers to parts (a) and (b), complete the statement: "There is at least a __% chance that the difference between the certified value and the values obtained by the new procedure is due to random error."
---
**Results and Calculations**:
| Results |
|-------------|
| 2.11 |
| 2.07 |
| 2.04 |
| 2.06 |
| 2.16 |
- **Sample size (n):** 5
- **Mean:** 2.088
- **Standard Deviation:** 0.047644517
- **Degree of freedom (n-1):** 4
**Confidence Intervals**:
- **95% Confidence Interval:**
- Confidence level: 0.95
- Alpha (α): 0.05
- Interval: 0.041761493
- Range: [2.129, 2.04624]
- **90% Confidence Interval:**
- Confidence level: 0.9
- Alpha (α): 0.1
- Interval: 0.03504735
- Range: [2.1230, 2.0529]
Given the confidence intervals, the accuracy of the new procedure can be assessed against the certified value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3425cae7-78b6-4102-b4ec-611d4b67bd59%2Ff8044457-fdcf-4abd-b746-097970c1d39c%2Fo9st5h8_processed.png&w=3840&q=75)
Transcribed Image Text:**A new procedure for the determination of sulfur in coal**
A new procedure for determining sulfur content in coal was tested using a standard coal sample with a certified value of 2.14% sulfur by mass. The procedure yielded results of 2.11%, 2.07%, 2.04%, 2.06%, and 2.16% from five separate tests.
**Questions:**
a) Does the new procedure give the correct result at the 95% confidence level?
b) Does the new procedure give the correct result at the 90% confidence level?
c) Based on your answers to parts (a) and (b), complete the statement: "There is at least a __% chance that the difference between the certified value and the values obtained by the new procedure is due to random error."
---
**Results and Calculations**:
| Results |
|-------------|
| 2.11 |
| 2.07 |
| 2.04 |
| 2.06 |
| 2.16 |
- **Sample size (n):** 5
- **Mean:** 2.088
- **Standard Deviation:** 0.047644517
- **Degree of freedom (n-1):** 4
**Confidence Intervals**:
- **95% Confidence Interval:**
- Confidence level: 0.95
- Alpha (α): 0.05
- Interval: 0.041761493
- Range: [2.129, 2.04624]
- **90% Confidence Interval:**
- Confidence level: 0.9
- Alpha (α): 0.1
- Interval: 0.03504735
- Range: [2.1230, 2.0529]
Given the confidence intervals, the accuracy of the new procedure can be assessed against the certified value.
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