A Study Was Conducted to Determine If the Salaries of Elementary

Multiple Choice

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. Assume the samples are random, independent, and come from populations that
Are normally distributed. Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text {. }$

A) (-3047, 247)
B) (-2054, 238)
C) (-2871, 567)
D) (-4081, 597)