The service times for a new data entry clerk have been measured and sequentially recorded as shown below:

$($you need to read the textbook to understand what is "doubling"$)$

Report Time$($hours$)$

$13\mathrm{.}467204754$

$22\mathrm{.}600403565$

$32\mathrm{.}197638612$

$41\mathrm{.}950302674$

$51\mathrm{.}777791096$

$61\mathrm{.}648228959$ Average

$71\mathrm{.}546080534$

$81\mathrm{.}462727005$

$91\mathrm{.}3929421$

$101\mathrm{.}333343322$

a$)$ What is the learning curve rate, based on this informaiton? $3\%$

b$)$ draw a learning curve graph based on the information given $1\%$

c$)$ Using an $82\%$ learning curve rate and $1\mathrm{.}950302674$ as $4$th unit, estimate

the length of time the clerk will take to complete the $64$th report. $3\%$

$(8$th unit is no longer $1\mathrm{.}462727005$ in this case$)$

Hint to question a: take the ratios of the units that have doubled such as report $8$ is the double to report $4.$

After you exhaust all ratios, take the average as your learning curve rate.

Hint to question c: $64$ is how many times double to #$4?$

Your base unit $($#$4)\text{'}$s time is $1\mathrm{.}950302674$ hours $.$ You should apply doubling formula.

Report How many times of $4$ n Time needed

$4$

$8$

$16$

$32$

$64$