Software upgrade times $($in minutes$)$ are being evaluated. Samples of five observations each have been taken, and the results are as listed.

SAMPLE

$123456$

$79\mathrm{.}280\mathrm{.}579\mathrm{.}678\mathrm{.}980\mathrm{.}579\mathrm{.}7$

$78\mathrm{.}878\mathrm{.}779\mathrm{.}679\mathrm{.}479\mathrm{.}680\mathrm{.}6$

$80\mathrm{.}081\mathrm{.}080\mathrm{.}479\mathrm{.}780\mathrm{.}480\mathrm{.}5$

$78\mathrm{.}480\mathrm{.}480\mathrm{.}379\mathrm{.}480\mathrm{.}880\mathrm{.}0$

$81\mathrm{.}080\mathrm{.}180\mathrm{.}880\mathrm{.}678\mathrm{.}881\mathrm{.}1$

Click here for the Excel Data File

Factors for three$-$sigma control limits for x$$ and R charts

FACTORS FOR R CHARTS

Number of Observations in Subgroup,

n Factor for

x$$ Chart,

A$2$ Lower

Control Limit,

D$3$ Upper

Control Limit,

D$4$

$21\mathrm{.}8803\mathrm{.}27$

$31\mathrm{.}0202\mathrm{.}57$

$40\mathrm{.}7302\mathrm{.}28$

$50\mathrm{.}5802\mathrm{.}11$

$60\mathrm{.}4802\mathrm{.}00$

$70\mathrm{.}420\mathrm{.}081\mathrm{.}92$

$80\mathrm{.}370\mathrm{.}141\mathrm{.}86$

$90\mathrm{.}340\mathrm{.}181\mathrm{.}82$

$100\mathrm{.}310\mathrm{.}221\mathrm{.}78$

$110\mathrm{.}290\mathrm{.}261\mathrm{.}74$

$120\mathrm{.}270\mathrm{.}281\mathrm{.}72$

$130\mathrm{.}250\mathrm{.}311\mathrm{.}69$

$140\mathrm{.}240\mathrm{.}331\mathrm{.}67$

$150\mathrm{.}220\mathrm{.}351\mathrm{.}65$

$160\mathrm{.}210\mathrm{.}361\mathrm{.}64$

$170\mathrm{.}200\mathrm{.}381\mathrm{.}62$

$180\mathrm{.}190\mathrm{.}391\mathrm{.}61$

$190\mathrm{.}190\mathrm{.}401\mathrm{.}60$

$200\mathrm{.}180\mathrm{.}411\mathrm{.}59$

a$.$ Using factors from above table, determine upper and lower control limits for mean and range charts. $($Round your intermediate calculations and final answers to $2$ decimal places. Leave no cells blank $-$ be certain to enter $"0"$ wherever required.$)$