There are $7$ tasks and $5$ observations for each tasks. If the observation value is $50\%$ more than the mean of this tasks, that observation is eliminated and rest of the observations will be used.

Table $1.$ Observed times for the given process

Cycle no:

Element Number

and Description

$1$

$2$

$3$

$4$

$5$

Performance Rates $(\%)$

$1$

$13$

$12$

$14$

$13$

$13$

$100$

$2$

$25$

$22$

$23$

$24$

$25$

$3$

$66$

$66$

$62$

$67$

$60$

$4$

$15$

$13$

$15$

$15$

$110$

$5$

$30$

$30$

$25$

$22$

$20$

$6$

$20$

$20$

$25$

$24$

$22$

$90$

$7$

$30$

$32$

$94$

$35$

$32$

$80$

a$.$ Calculate the number of sample sizes for work element$-1$ and work element$-2.$ Is the number

of observations enough for each work element? $(10$ points$)$

$(40$ VnEx$2-($Ex

where

$1$

$$

Ex

sample size we wish to determine

$-$number of readings taken in the preliminary study $-$sum of values

$=$ value of the readings.

b$.$ Calculate the total allowance rate using the following table. Assume that the following situation is observed by the method engineer: "Average" skill, "Good" Efforts, "ideal" condition, and "Excellent" consistency. $(5$ points$)$

Shill

$+0\mathrm{.}15$ A

$+0\mathrm{.}13$ A

Superskill

Effort $+0\mathrm{.}13$ A $+0\mathrm{.}12$ A

Excessive

$+0\mathrm{.}118$

$+0\mathrm{.}10$ B

$+0\mathrm{.}08$ B

Excellent

$+0\mathrm{.}08$ B

Excellent

$$

$+0\mathrm{.}06$ C

$+0\mathrm{.}00$ C

$+0\mathrm{.}03$ C $+0\mathrm{.}00$ D

Good

$+0\mathrm{.}02$ C

Good

Averag

$+0\mathrm{.}00$ D

$-0\mathrm{.}05,$

$-0\mathrm{.}041$

$-0\mathrm{.}10$ E

Fair

$-0\mathrm{.}08$

Average Fair

$-0\mathrm{.}16$ F

$-0\mathrm{.}22$

Por

$-0\mathrm{.}12$ P $-0\mathrm{.}17$ F

Pr

Conditions

Consistency

$+0\mathrm{.}06$ A $+0\mathrm{.}04$ B

Ideal

$+0\mathrm{.}04$ A

Perfect

Excellent

$+0\mathrm{.}03$ B

Excellent

$19$

$0$

TUR

$13$:$08$

$24\mathrm{.}04\mathrm{.}2024$