Question

$1$

$($

$1$

$0$

$\%$

$)$

$$: The following data were obtained by observing three elements of a financial manager's task.

$\backslash$

table

$[$

$[$

$,$

$\backslash$

table

$[$

$[$

Observations

$]$

$,$

$[$

$($

second per cycle

$)$

$]$

$]$

$]$

$,$

$[$

Element

$,$

Performance Rating,

$1$

$,$

$2$

$,$

$3$

$,$

$4$

$,$

$5$

$,$

$]$

$,$

$[$

A

$,$

$9$

$0$

$\%$

$,$

$3$

$3$

$,$

$3$

$5$

$,$

$3$

$4$

$,$

$3$

$2$

$,$

$3$

$3$

$,$

$]$

$,$

$[$

B

$,$

$1$

$1$

$0$

$\%$

$,$

$4$

$1$

$,$

$4$

$2$

$,$

$4$

$0$

$,$

$4$

$3$

$,$

$4$

$1$

$,$

$]$

$,$

$[$

C

$,$

$8$

$5$

$\%$

$,$

$3$

$9$

$,$

$4$

$1$

$,$

$4$

$0$

$,$

$4$

$2$

$,$

$4$

$1$

$,$

$]$

$]$

$$a

$.$

$$Using the data and an allowance of

$1$

$0$

$$percent of task time, determine a standard tie for the task. b

$.$

$$Determine the number of observations that would be required to estimate the mean time for element A within

$4$

$$percent of the true value with a confidence of

$9$

$8$

$$percent$.$ c

$.$

$$How many observations would be needed to estimate the mean time for Element C to within

$0$

$.$

$0$

$1$

$$minutes of its actual value with a confidence of

$9$

$0$

$$percent$?$