An industrial crane is operated by four electric motors working together. For the crane to perform properly, the four motors have to generate a total of at least 380 horsepower. Engineers from the plant that produces the electric motors have stated that motors off their assembly line average 100 horsepower, with a standard deviation of 10 horsepower. The four electric motors on the crane have just been replaced with four brand new motors from the motor manufacturer.
A safety engineer is concerned that the four motors might not be powerful enough to properly operate the crane. Stating any additional assumptions you are using, does the engineer's concern appear to be justified?