In Calculating 95% Confidence Interval For $\mu _ { 1 } - \mu _ { 2 } ;$

Multiple Choice

In calculating 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 } ;$ the difference between the means of two normally distributed populations, summary statistics from two independent samples are: $m = 10 , \bar { x } = 50 , s _ { 1 } ^ { 2 } = .64 , n = 10 , \bar { y } = 40 \text {, and } s _ { 2 } ^ { 2 } = 1.86$ Then, the upper limit of the confidence interval is

A) 10.953
B) 9.047
C) 9.216
D) 10.784
E) 10.0