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A production manager at a wall clock company wants to test their new wall clocks. The...

A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by less than 1.5 years? Round your answer to four decimal places.

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