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In nuclear physics, detectors are often used to measure the energy of a particle. To
Chapter 7, Problem 7.1-12(choose chapter or problem)
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 260 216 259 206 265 284 291 229 232 250 225 242 240 252 236 (a) Find a 95% confidence interval for , assuming that these are observations from a N(, 2) 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?
Questions & Answers
QUESTION:
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 260 216 259 206 265 284 291 229 232 250 225 242 240 252 236 (a) Find a 95% confidence interval for , assuming that these are observations from a N(, 2) 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?
ANSWER:Step 1 of 4
Given,
Sample size,
Let’s determine the following using the data: