Construct a 95% Confidence Interval For $\mu _ { 1 } - \mu _ { 2 }$

Multiple Choice

Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Assume the two samples are random and independent. The sample statistics are given below.
Population statistics: $\sigma _ { 1 } = 2.5 \text { and } \sigma _ { 2 } = 2.8$ Sample statistics: $\overline { \mathrm { x } } 1 = 12 , \mathrm { n } _ { 1 } = 40 \text { and } \overline { \mathrm { x } } 2 = 13 , \mathrm { n } _ { 2 } = 35$

A) (-2.209, 0.209)
B) (-2.001, -1.873)
C) (-1.968, 1.561)
D) (-1.673, 1.892)