A political analyst wanted to find out if younger adults were becoming more conservative. He decided to see if the mean age of registered Republicans was lower than registered Democrats. She selected an SRS of 128 registered Republicans and determined the mean age to be 39 years with a standard deviation of 8 years. She also selected an SRS of 200 Democrats and determined the mean age to be 40 years with a standard deviation of 10 years. Let₁and₂represent the mean ages of the populations of all registered Republicans and Democrats.

Using the above data, construct a 90% confidence interval foru₁-u₂.

A. (-2, 0)

B. (-2.66, 0.66)

C. (-2.98, 0.98)

D. (-1.62, 3.62)

E. (0, 2)