Question $7)$ Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of $36$PlayStation users had an average age of $34\mathrm{.}2$ years while a random sample of $35$ Xbox users had an average age of $32\mathrm{.}7$ years. Assume that the population standard deviation for the age of PlayStation and Xbox users is $3\mathrm{.}9$ and $4\mathrm{.}0$ years, respectively. Sony wouldlike to set a $=0\mathrm{.}05.$ If Population $1$ is defined as PlayStation users and Population $2$ isdefined as Xbox users, the test statistic for this hypothesis test would beA$)2=\_1\mathrm{.}281$B$)=1\mathrm{.}562$C$)2$; $=1\mathrm{.}599$D$=1\mathrm{.}587$E$=1\mathrm{.}960$