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Question B3 a) Consider the following four measurements of a quantity , 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 10.2+0.3 2 = 4.90.1+0.4 13 = 4.43 + 0.12 + 0.01 TA = 5.5 +0.3+0.3 Assuming the systematic and statistical uncertainties are uncorrelated, compute the total uncertainties in each case. b) Compute the weighted average of these four measurements and its uncertainty. c) Compute the overall y'. Given the number of measurements, are these values compatible? Explain why this is or is not the case. Given this, comment on the usefulness and statistical meaning of the weighted average computation. d) If you were writing a review article describing the current knowledge of the quantity r, which aspect(s) of the measurements above would you find unusual? If you had to estimate a reasonable adjustment without more information from the experimenters, what would you change? Evaluate the compatibility after this change and compute the weighted average, uncertainty, and x2 including the adjustment