Two competing semiconductor manufacturers offer a 1n4740a, Ask an Expert

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Two competing semiconductor manufacturers offer a 1N4740A zener diode, which is specified as having a voltage of 10V and a maximum power rating of 1W. At a specifiec test current, one manufacturer claims its diode has a mean voltage of 10V and a standard deviation of 0.2V, while the other manufacturer claims a superior product with a mean of 10V and a standard deviation of only 0.1V If 100 diodes from each manufacturer are measured, what is the probability that their sample means will differ by more than 0.005V?

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