(Choose 1 answer)
(See picture)
Α. (0.128, 0.332)
Β. (0.125, 0.335)
C. (-0.014. 0.474)
D. None of the other choices is correct
Ε. (0.144, 0.316)
Two machines are used to fill plastic bottles with dishwashing detergent. The fill volume can be assumed normal, with standard deviation \sigma_{1}=0.15 fluid ounces and \sigma_{2}=0.20 fluid ounces for machine 1 and machine 2, respectively. Two random samples of n_{1}=20 bottles from machine 1 and n_{2}=25 bottles from machine 2 are selected, and the sample means are \overline{x}_{1}=30.85 fluid ounces and \overline{x}_{2}=30.62 fluid ounces. Construct a 95% two-sided confidence interval for the difference in mean fill volumes of two machines.
Let 0.025 1.96, 0.05=1.645, 0.025,43 =2.017, 0.05,43 =1.681
