A simple random sample of size n is drawn from a population that is normally distributed. The sample$$ mean, $$x$,$ is found to be $,17\mathrm{.}3$ and the sample standard$$ deviation, s$,$ is found to be $4\mathrm{.}5.$ Construct a $95\%$ confidence interval about if the sample$$ size, n$,$ is $70.$