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A Study Was Conducted to Determine If the Salaries of Elementary

Question 71

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A study was conducted to determine if the salaries of elementary school teachers from two neighboring
districts were equal. A sample of 15 teachers from each district was randomly selected. The mean from the first
district was $28,900 with a standard deviation of $2300. The mean from the second district was $30,300 with a
standard deviation of $2100. Test the claim that the salaries from both districts are equal. Assume the samples
are random and independent, and the populations are normally distributed. Also, assume that σ12=σ22 \sigma _ { 1 } ^ { 2 } = \sigma_ { 2 } ^{ 2 } Use α=0.05\alpha = 0.05 \text {. }

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