probability sample mean will differ by > 30lb (safety belts)

jea252

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Hello,
I am in need of assistance on the following homework problem. I am unsure of how to start as well as complete the problem. I thank you in advance for any assistance you can provide on this problem. I really appreciate this service you are providing. It really helps us college students.

The breaking strength of Flimsy safety belts is known to be approximately normally distributed with a true mean (?) of 8100 pounds and a true standard deviation (?? of 105 pounds. If a simple random sample of 40 belts is chosen, what is the probability that the sample mean ( ) will differ from the true mean (?) by more than 30 pounds (in either direction)?
 
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