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: $\sigma _ { 1 } = 1.5 \text { and } \sigma _ { 2 } = 1.9$ Sample statistics: $\overline { \mathrm { x } } 1 = 25 , \mathrm { n } _ { 1 } = 50 \text { and } \overline { \mathrm { x } } 2 = 23 , \mathrm { n } _ { 2 } = 60$

A) (1.364, 2.636)
B) (1.572, 2.987)
C) (1.723, 3.012)
D) (1.919, 3.142)