mix.$$ Time$-$study data for the filling activity are shown in the following table. Because of the high physical demands of the$$ job, the$$ company's policy is a $23\%$ allowance for workers.

$$

Performance

Observation$($seconds$)$

Element

Rating

$1$

$2$

$3$

$4$

$5$

Grasp and place bag

$110$

$\%$

$8$

$9$

$8$

$11$

$7$

Fill bag

$85$

$\%$

$36$

$41$

$39$

$35$

$112$

$*$

Seal bag

$105$

$\%$

$15$

$17$

$13$

$20$

$18$

Place bag on conveyor

$90$

$\%$

$8$

$6$

$9$

$30$

$^$

$35$

$^$

$*$ Bag breaks$$ open; included as delay in the allowance factor

$^$ Conveyor$$ jams; included as delay in the allowance factor

Part $2$

$$a$)$ The standard time for this process is

$$

$85\mathrm{.}8$ seconds. $($Round all intermediate calculations to two decimal places before proceeding with further calculations. Round your response to two decimal$$ places.$)$

Part $3$

$$b$)$ The number of observations that are required for a $99\%$ confidence level within $5\%$ accuracy is

$$

enter your response here observations $($round your response to the immediate higher whole$$ number$).$