Problem $7-1($Algo$)$

An analyst has timed a metal$-$cutting operation for $50$ cycles. The average time per cycle was $9\mathrm{.}1$ minutes, and the standard deviation

was $1\mathrm{.}11$ minutes for a worker with a performance rating of $111$ percent. Assume an allowance of $11$ percent of job time. Find the standard

time for this operation. $($Do not round intermediate calculations. Round your final answer to $2$ decimal places.$)$

Answer is complete but not entirely correct.