Using the data below, compute the warning limits and corrective action limits$,$ which are $1\mathrm{.}5$ and $2\mathrm{.}25$ standard deviations, respectively. The process standard deviation, $\backslash$sigma $,$ is estimated to be $213.$

Sample

$12345$

Observation $15,2535,0825,6285,4954,909$

$25,0305,4835,1265,0455,084$

$34,8434,8134,8835,5954,639$

$45,6724,5834,6905,7565,055$

$55,6245,3564,7274,6545,201$

$65,3245,4605,4605,3224,873$

$74,5334,8225,6895,0914,596$

$85,0135,6755,5314,6564,783$

$95,4244,9095,6484,9145,066$

$105,0354,6575,4595,7685,623$

$115,2534,8905,6574,6835,136$

$125,4634,6294,6485,3405,654$

$135,2765,7154,8095,0615,777$

$145,3235,2345,2665,6684,744$

$155,5604,6875,5714,8735,111$

$165,1684,6845,7054,9055,742$

$175,4815,5474,5465,5675,748$

$184,9415,4594,6725,7605,580$

$195,3585,0494,6984,5395,719$

$205,2364,8404,8424,5684,589$

Compute the x $,$UWL,LWL$,$UCL and LCL$.$

x $=$

UWL $=$

LWL $=$

UCL $=$

LCL $=$

Do any samples yield a warning or corrective action? If so$,$ list all applicable samples.

Warning Samples:

Corrective Action Samples: