A study was conducted to determine if the salaries of elementary school teachers from two neighboring states were different. A sample of 100 teachers from each state were randomly selected. The mean from the first state was $34, 500 with a population standard deviation of $2875. The mean from the second state was $35, 450 with a population standard deviation of $3200. Test the claim that the salaries from both states are different. Use α = 0.01.
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