The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At \alpha α = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington? What is the critical value? Round your answer to the nearest hundredths.
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