Question: The times (in minutes) it took six white mice to learn to run a simple maze and the times it took six brown mice to learn to run the same maze are given here.

White Mice Brown Mice

18 25

24 16

20 19

13 14

15 16

12 10

(a) Does the color of the mice make a difference in their learning rate? Test using a significance level of 5%.

(b) Give the p-value for the test, and interpret its value.

(c) Find the 99% confidence interval for the difference of the means. Interpret this interval.

Note: You can assume the data is normally distributed.