A standard European football goal is \(732 \mathrm{~cm}\) wide and \(244 \mathrm{~cm}\) high, so if the goalkeeper is standing in the middle of the goal, he needs to be able to throw himself far enough to the sides that his hands are \(366 \mathrm{~cm}\) away from the middle, if he wants to cover the entire goal. We have data from the small Norwegian football club Jerv's junior goalkeeper in 1986, Christian Finne. The average reach for 8 throws is \(\bar{x}=378 \mathrm{~cm}\), and their sample standard deviation is \(s_{x}=14 \mathrm{~cm}\). Find a \(96 \%\) credible interval for Finne's reach when using a neutral prior.