A tech company is assessing the performance of two different computer processors $($Processor A and Processor B$)$ in terms of processing speed. In a benchmark test, $60$ computers were randomly assigned to use either Processor A or Processor B$.$ The average processing speed for computers with Processor A was M $=3\mathrm{.}5$ GHz $($s $=0\mathrm{.}8$ GHz$),$ while for those with Processor B$,$ it was M $=3\mathrm{.}0$ GHz $($s $=0\mathrm{.}5$ GHz$).$ What type of hypothesis test should be utilized to determine if there's a statistically significant difference in the average processing speed between the two processors?