Two Types of Flares Are Tested for Their Burning Times $n = 35 , \bar { Y } = 19.4 , s = 1.4$

Multiple Choice

Two types of flares are tested for their burning times (in minutes) and sample results are given below.
Brand A: $n = 35 , \bar { Y } = 19.4 , s = 1.4$
Brand B: $n = 40 , \bar { Y } = 15.1 , s = 0.8$
Construct a $95 \%$ confidence interval for the difference $\mu _ { A } - \mu _ { B }$ based on the sample data.

A) $( 3.8,4.8 )$
B) $( 3.6,5.0 )$
C) $( 3.2,5.4 )$
D) $( 3.5,5.1 )$
E) $( - 4.7 , - 3.9 )$