A pilot time study was conducted for an operation consisting

a$.$ Determine the number of cycles to be timed if $99$ percent confidence and $6\%$ accuracy is required. Twenty$-$five cycles were timed. $(10$ points$)$

$\backslash$table$[[$Element$,$Average,$\backslash$table$[[$Standard$],[$Deviation$]]],[$One$,1\mathrm{.}50,0\mathrm{.}20],[$Two$,4\mathrm{.}50,0\mathrm{.}55],[$Three$,1\mathrm{.}00,0\mathrm{.}48]]$

b$.$ Determine the accuracy of this study if only $25$ cycles were timed. $(10$ points$)$