When trying to reduce energy costs for a home, one strategy is to install high quality doors. A consumer service wants to test two brands (A and B) of doors to see which is more effective at preventing loss of heat. They have four doors of each brand they will install in a small cabin built for this purpose. The cabin has places for four doors on the north wall and four on the south wall. The inside of the cabin will be heated, and monitors will be placed outside each door to

measure the amount of heat loss.

a. How would you use random numbers to decide which doors to put in which position?

b. Briefly explain why your assignment strategy is important in helping the manager assess the effectiveness of the doors.