A machine can be adjusted so that under control, the mean amount of sugar filled in a bag is $5$ pounds. To check if the machine is under control, six bags were picked at random and their weights $($in pounds$)$ were found to be as follows:

$5\mathrm{.}45\mathrm{.}35\mathrm{.}34\mathrm{.}95\mathrm{.}4$

Assume that the weights of sugar bags are normally distributed. The $95\%$ confidence interval for the true mean weight of a bag is given by