In nuclear physics, detectors are often used to measure the energy of a particle. To calibrate a detector, particles of known energy are directed into it. The values of signals from 15 different detectors, for the same energy, are

(a) Find a 95% confidence interval for μ, assuming that these are observations from a N(μ, σ2) distribution.
(b) Construct a box-and-whisker diagram of the data.
(c) Are these detectors doing a good job or a poor job of putting out the same signal for the same input energy?

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