Example 134: In a case in Ireland, a class action lawsuit was brought against the government alleging age discrimination. The ages of 31 randomly selected unsuccessful applicants for promotion yielded a mean age of 47 and a standard deviation of 7.2 years. The ages of 30 randomly selected successful applicants yielded an average age of 43.9 and a standard deviation of 5.9 years. Using a 5% significance level, test the claim that the government is discriminating based on age.

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