The manufacturer declares the value of a carbon based resistor to be (270± 10) o

Question

The manufacturer declares the value of a carbon based resistor to be (270± 10) ohms. Using 3 different methods, a technologist measures the value of the same resistor to be (268 ± 1)ohms, (267.8±0.3) ohms, and (267.79±0.02 ohms. a) which one of these 4 values is the closest estimate to the true value for this resistor? b) Do the uncertainty ranges of the four values overlap? I am pretty sure these 4 values overlap, but im not sure how to do part a
The manufacturer declares the value of a carbon based resistor to be (270± 10) ohms. Using 3 different methods, a technologist measures the value of the same resistor to be (268 ± 1)ohms, (267.8±0.3) ohms, and (267.79±0.02 ohms. a) which one of these 4 values is the closest estimate to the true value for this resistor? b) Do the uncertainty ranges of the four values overlap? I am pretty sure these 4 values overlap, but im not sure how to do part a

Explanation / Answer

The 4 ranges of resistance are 260 - 280 267 - 269 267.5 -268.1 267.77 - 267.81 The last value should be the one closest to the true value. Each range is included in the previous one so they overlap completely.

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