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A company that makes fasteners has government specifications for a self-locking nut. The locking torque has both a maximum and a minimum specified. The

 

A company that makes fasteners has government specifications for a self-locking nut. The locking torque has both a maximum and a minimum specified. The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and a variance o? of 4.49-squared in-lb. Torque is normally distributed. (a) If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits? (b) Another machine in the offset department can turn out the nuts with an average of 8.91 in-lb and a standard deviation of 2.33 in-lb. In a lot of 1000 nuts, how many would have too high a torque?

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