Consider the following four measurements of a quantity r, made by four separate groups of experimenters using similar experimental methods. In each case the first uncertainty given is statistical and the second is systematic. - 5.2 +0.2±0.3 ra - 4.9 +0.1±0.4 4.43 0.12 +0.01 . - 5.5 ±0.3+0.3 Assuming the systematic and statistical uncertainties are uncorrelated, a). sompute the total uncertainties in each case. b). Compute the weighted average of these four measurements and its uncertainty.
Consider the following four measurements of a quantity r, made by four separate groups of experimenters using similar experimental methods. In each case the first uncertainty given is statistical and the second is systematic. - 5.2 +0.2±0.3 ra - 4.9 +0.1±0.4 4.43 0.12 +0.01 . - 5.5 ±0.3+0.3 Assuming the systematic and statistical uncertainties are uncorrelated, a). sompute the total uncertainties in each case. b). Compute the weighted average of these four measurements and its uncertainty.
Related questions
Question
Transcribed Image Text:Consider the following four measurements of a quantity r, made by four separate groups of
experimenters using similar experimental methods. In each case the first uncertainty given
is statistical and the second is systematic.
- 5.2 +0.2±0.3
ra - 4.9 +0.1±0.4
4.43 0.12 +0.01
. - 5.5 ±0.3+0.3
Assuming the systematic and statistical uncertainties are uncorrelated, a). sompute the total
uncertainties in each case.
b). Compute the weighted average of these four measurements and its uncertainty.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 8 images
