Question

Ten groups of students do an experiment to measure the charge on an electron. The average of these ten measurements is $1.6 \pm 0.1 \times 10^{-19}$ coulombs. The instructor sees that seven groups' measurements overlap with this average at the $1\sigma$ level, two groups at the $2\sigma$ level, and one group at the $3\sigma$ level. What should the instructor conclude a) The three groups whose results do not overlap at the $1\sigma$ level did something wrong. b) The group whose results only overlapped at the $3\sigma$ level did something wrong. c) Nothing was wrong, this distribution of results is quite reasonable.

          Ten groups of students do an experiment to measure the charge on an electron. The average of these ten measurements is $1.6 \pm 0.1 \times 10^{-19}$ coulombs. The instructor sees that seven groups' measurements overlap with this average at the $1\sigma$ level, two groups at the $2\sigma$ level, and one group at the $3\sigma$ level. What should the instructor conclude
a) The three groups whose results do not overlap at the $1\sigma$ level did something wrong.
b) The group whose results only overlapped at the $3\sigma$ level did something wrong.
c) Nothing was wrong, this distribution of results is quite reasonable.

Ten groups of students do an experiment to measure the charge on an electron. The average of these ten measurements is 1.6 ± 0.1 × 10^-19 coulombs. The instructor sees that seven groups' measurements overlap with this average at the 1σ level, two groups at the 2σ level, and one group at the 3σ level. What should the instructor conclude
a) The three groups whose results do not overlap at the 1σ level did something wrong.
b) The group whose results only overlapped at the 3σ level did something wrong.
c) Nothing was wrong, this distribution of results is quite reasonable.

Added by Steven H.

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