A Study Was Conducted to Determine If the Salaries of Elementary

Essay

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 $\sigma _ { 1 } ^ { 2 } = \sigma_ { 2 } ^{ 2 }$ Use $\alpha = 0.05 \text {. }$