The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if sales of snacks are different from sales of frozen foods. If snacks are group $1$ and frozen foods are group $2,$ what are the hypotheses for this test?

$1)$

HO: $\backslash$mu $1>=\backslash$mu $2$

HA: $\backslash$mu $1<\backslash$mu $2$

$2)$

HO: $\backslash$mu $1=\backslash$mu $2$

HA: $\backslash$mu $1!=\backslash$mu $2$

$3)$

HO: $\backslash$mu $1<=\backslash$mu $2$

HA: $\backslash$mu $1>\backslash$mu $2$

$4)$

HO: $\backslash$mu $1>\backslash$mu $2$

HA: $\backslash$mu $1<=\backslash$mu $2$