A sample of \(80\) light bulbs is taken from a population with a mean lifetime of \(1500\) hours. The lifetime, \(x\) hours, of each lightbulb was recorded and the following data are obtained:
\(\sum x = 110200\) and \(\sum x^{2} = 180512000\)
A statistical test is carried out at an \(8\%\) level of significance, and it is found that the population mean lifetime is not \(1500\) hours.
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