Random samples are taken from two normal populations with \(\sigma_{1}=9.6\) and \(\sigma_{2}=13.2\) to test the null hypothesis \(\mu_{1}-\mu_{2}=41.2\) against the alternative hypothesis \(\mu_{1}-\mu_{2}>41.2\) at the level of significance \(\alpha=0.05\). Determine the common sample size \(n=n_{1}-n_{2}\) that is required if the probability of not rejecting the null hypothesis is to be 0.08 when \(\mu_{1}-\mu_{2}=54.7\).