17 The number of working hours per week of employees in a company is modelled by a normal distribution with mean of 34 hours and a standard deviation of 4.5 hours. The manager claims that the mean working hours per week of the company's employees has increased. A random sample of 30 employees in the company was found to have mean working hours per week of 36.2 hours. Carry out a hypothesis test at the \(2.5 \%\) significance level to investigate the manager's claim.
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