$($Dataset $4),$ there were $15$ samples and in each sample $7$ products were measured in the unit of

millimeter $(mm).$ In this case $n=$

$7$

and $N=$

$5$

Go to Tab $"$P$4"$ and click "Show me the data". The collected data is shown in this table. The first column

is the sample number while the next few columins show the product thickness of the measured products

in each sample. Edith has also calculated sample means and sample ranges which are shown in the last

two columns $($Mean and Range$),$ as well as x$-$bar$-$bar and R$-$bar values, which are shown below the table.

Edith knows the next step is to determine the "constants" in the table and comes up with: $A_2=0\mathrm{.}22,$

$D_3=0\mathrm{.}35,$ and $D_4=1\mathrm{.}65.$ You need to verify whether these values are correct. Are all three constants chosen

correctly? $($Yes or No$)$

If the values are correct, please proceed to the next step. If the values are not correct, please write down

the correct values here: $a2=0\mathrm{.}37,d3=0\mathrm{.}076,d4=1\mathrm{.}59$

Use the x $-$bar$-$bar and R$-$bar values computed by Edith, and appropriate "constants" to calculate the

center line and control limits for x $-$bar chart and R chart $($rounding to $3$ decimal places$).$

$x-$bar chart: $CL=$

$,$ UCL$=$

$\_,$ and $LCL=$

R chart: $CL=$

UCL $=$

$,$ and LCL $=$

$.$