The following are the number of hydraulic pumps which a sample of 10 industrial machines of Type \(A\) and a sample of 8 industrial machines of Type \(B\) manufactured over a certain fixed period of time:

\(\begin{array}{lllllllllll}\text { Type A: } & 8 & 6 & 7 & 9 & 4 & 11 & 8 & 10 & 6 & 9\end{array}\) 

\(\begin{array}{lllllllll}\text { Type } B: & 4 & 3 & 6 & 7 & 7 & 1 & 9 & 6\end{array}\)

Assuming that the populations sampled can be approximated closely with normal distributions having the same variance, test the null hypothesis \(\mu_{1}-\mu_{2}=0\) against the alternative hypothesis \(\mu_{1}-\mu_{2} eq 0\) at the 0.05 level of significance.