4. I was able to convince the plan manager to allow me to make the change to the larger production plant. My job's on the line now! So I am monitoring it pretty closely. Here are the results for the day: Table 4. Production rate from pilot plant demonstration tests. Run # 1 2 3 4 5 P (pounds per hour) 2200 2200 2300 2200 2300 From these data, please estimate: a. Estimate the Type A uncertainty in these measurements. Be sure to include the units. b. Estimate the Type B uncertainty associated with these measurements. Be sure to include units. C. Determine the uncertainty in the measurement of pressure in the cylinder. Be sure to include units. State your answer as average +/- uncertainty.
4. I was able to convince the plan manager to allow me to make the change to the larger production plant. My job's on the line now! So I am monitoring it pretty closely. Here are the results for the day: Table 4. Production rate from pilot plant demonstration tests. Run # 1 2 3 4 5 P (pounds per hour) 2200 2200 2300 2200 2300 From these data, please estimate: a. Estimate the Type A uncertainty in these measurements. Be sure to include the units. b. Estimate the Type B uncertainty associated with these measurements. Be sure to include units. C. Determine the uncertainty in the measurement of pressure in the cylinder. Be sure to include units. State your answer as average +/- uncertainty.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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Transcribed Image Text:### Production Rate Data Analysis
**Context:**
The following exercise involves the analysis of production rate data from a series of pilot plant demonstration tests. This analysis will help us estimate the uncertainties involved in the measurements. Below are the results of the tests conducted:
**Table 4. Production rate from pilot plant demonstration tests.**
| Run # | **P (pounds per hour)** |
|-------|-------------------------|
| 1 | 2200 |
| 2 | 2200 |
| 3 | 2300 |
| 4 | 2200 |
| 5 | 2300 |
**Tasks:**
Based on the data provided, you are required to estimate the following:
**a. Estimate the Type A uncertainty in these measurements. Be sure to include the units.**
**b. Estimate the Type B uncertainty associated with these measurements. Be sure to include units.**
**c. Determine the uncertainty in the measurement of pressure in the cylinder. Be sure to include units. State your answer as average +/- uncertainty.**
**Guidelines for Estimation:**
1. **Type A Uncertainty:**
- This refers to uncertainty evaluated by statistical methods. It's often derived from the standard deviation of repeated measurements.
2. **Type B Uncertainty:**
- This refers to uncertainty evaluated by other means than the statistical analysis of series of observations. This might include manufacturer specifications or previous studies.
3. **Overall Uncertainty:**
- Combine the estimates of Type A and Type B uncertainties to determine the overall uncertainty in the measurements.
By carefully analyzing these uncertainties, we can better understand the reliability and accuracy of the production rate data, which is crucial for scaling up to a larger production plant.
These analytical skills are essential for maintaining quality control and ensuring consistent production performance.
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