1. An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline AA batteries and Eveready Energizer Alkaline AA batteries were given as 4.1 h and 4.5 h, respectively. Suppose these are the population average lifetimes. a. Let X be the sample average lifetime of 100 Duracell batteries and Y be the sample average lifetime of 100 Eveready batteries. What is the mean value of X Y (i. e., where is the distribution of X Y centered)? How does your answer depend on the specified sample sizes?