Two microprocessors are compared on a sample of 6 benchmark codes to determine whether there is a difference in speed. The times (in seconds) used by each processor on each code are as follows:

a. Find a 95% confidence interval for the difference between the mean speeds.

b. A computer scientist claims that the mean speed is the same for both processors. Does the confidence interval contradict this claim?

Code 1 2 3 4 5 6 Processor A 27.2 18.1 27.2 19.7 24.5 22.1 Processor B 24.1 19.3 26.8 20.1 27.6 29.8