A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown in the following table.

OBSERVATIONS $($minutes per cycle$)$

Element Performance

Rating $123456$

$180\%0\mathrm{.}390\mathrm{.}440\mathrm{.}340\mathrm{.}340\mathrm{.}340\mathrm{.}34$

$2751\mathrm{.}391\mathrm{.}391\mathrm{.}341\mathrm{.}341\mathrm{.}341\mathrm{.}39$

$31200\mathrm{.}740\mathrm{.}740\mathrm{.}640\mathrm{.}690\mathrm{.}740\mathrm{.}69$

$41050\mathrm{.}991\mathrm{.}040\mathrm{.}991\mathrm{.}041\mathrm{.}041\mathrm{.}09$Determine the average cycle time for each element. $($Round your answers to $3$ decimal places.$)$

Element Average cycle

$1$

$2$

$3$

$4$

b$.$

Find the normal time for each element. $($Round your intermediate calculations and final answers to $3$ decimal places.$)$

Element Normal time

$1$

$2$

$3$

$4$

c$.$

Assuming an allowance factor of $15$ percent of job time, compute the standard time for this job. $($Round your intermediate calculations and final answers to $3$ decimal places.$)$

Element Standard time

$1$

$2$

$3$

$4$