Calculate the $95\%$ confidence interval for the difference $($mu$1-$mu$2)$ of two population means given the following sampling results. Population $1$: sample size $=20,$ sample mean $=20\mathrm{.}43,$ sample standard deviation $=0\mathrm{.}58.$ Population $2$ : sample size $=20,$ sample mean $=17\mathrm{.}32,$ sample standard deviation $=3\mathrm{.}06.$

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