A company wants to test if the difference in average weekly hours worked by employees in its city A and city B offices is equal to $3$ hours. The following data are collected:
City A: ${\bar{x}}_1=42$, $n_1=25$, ${\sigma }_1=5$
City B: ${\bar{x}}_2=38$, $n_2=30$, ${\sigma }_2=6$
Test $H_0:{\mu }_1-{\mu }_2=3$ versus $H_a:{\mu }_1-{\mu }_2\ne 3$ at $\alpha =0.01$. What is your conclusion?

There is sufficient evidence to conclude that the difference in the average weekly hours worked between city A and city B is significantly different from $3$ hours

There is insufficient evidence to conclude that the difference in the average weekly hours worked between city A and city B is significantly different from $3$ hours

There is sufficient evidence to conclude that the difference in the average weekly hours worked between city A and city B is less than $3$ hours

There is insufficient evidence to conclude that the difference in the average weekly hours worked between city A and city B is less than $3$ hours