A super department store chain has just ordered and received 1000, 48-inch ceiling fans. The store manager, Tom, is adamant that 10 fans be tested and if it is found that the mean consumption of this...

A super department store chain has just ordered and received 1000, 48-inch ceiling fans. The store manager, Tom, is adamant that 10 fans be tested and if it is found that the mean consumption of this sample is greater than the 80 watts used in the promotion of the product, the entire shipment of 1000 fans will be rejected.

Unknown to Tom is that the entire shipment of fans requires 75 watts with a standard deviation of 14 watts. Stating any addition assumptions, you are using, find the probability that the shipment of ceilings fans will be rejected.