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Mathematics, 05.05.2020 16:43 twiddleturd
An experiment is designed to test whether operator A or operator B gets the job of operating a new machine. Each operator is timed on 75 independent trials involving the performance of a certain task using the machine. If the sample means for the 75 trials differ by more than 1 second, the operator with the smaller mean time gets the job. Otherwise, the experiment is considered to end in a tie. If the standard deviations of times for both operators are assumed to be 3 seconds, what is the probability that operator A will get the job even though both operators have equal ability
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