Two friends were curious if it was faster to use the drive-thru or order at the counter at their favorite fast food restaurant. For 555 different visits, one of them ordered at the counter while the other used the drive-thru (determined by a coin toss). Each person ordered the same meal at every visit. Here are the times (in minutes) it took them to get their orders:
Counter 555 888 101010 777 777
Drive-thru 333 101010 777 777 888
They want to test if these results suggest a significant difference in the average time between ordering at the counter and ordering in the drive-thru. Assume that the necessary conditions for inference were met.
Which of these is the most appropriate test and alternative hypothesis?
