$*10\mathrm{.}26$ Each year, Hudson's Bay Company sets up a gift$-$wrapping station to assist its customers with holiday shopping. Preliminary observations of one worker at the station produced the following sample time $($in minutes per package$)$: $3\mathrm{.}5,3\mathrm{.}2,4\mathrm{.}1,3\mathrm{.}6,3\mathrm{.}9.$ Based on this small sample, what number of observations would be necessary to determine the true cycle time with a $95\%$ confidence level and an accuracy of $5\%?$