$3323$p$3-9$ quality chart

XYZ Food Inc. produces a variety of canned food.$$One of them is a canned green pea soup, net weight of $4$ ounces.$$The machine that fills the cans with green peas soup is new, and the operations manager wants to make sure that it$$is properly adjusted.$$The manufacturer of the machine has claimed that the process average should be $4\mathrm{.}05$ ounces and that the average range should be $0\mathrm{.}32$ ounce when the machine is properly adjusted.$$The operations manager takes a sample of five cans and records the average and range in ounces for each sample.$$The data for the first $10$ samples is in the following table.

Sample number

Sample range

Sample average

$1$

$0\mathrm{.}41$

$4\mathrm{.}00$

$2$

$0\mathrm{.}55$

$4\mathrm{.}16$

$3$

$0\mathrm{.}51$

$3\mathrm{.}84$

$4$

$0\mathrm{.}48$

$4\mathrm{.}00$

$5$

$0\mathrm{.}56$

$4\mathrm{.}17$

$6$

$0\mathrm{.}62$

$3\mathrm{.}93$

$7$

$0\mathrm{.}54$

$3\mathrm{.}98$

$8$

$0\mathrm{.}44$

$4\mathrm{.}01$

$9$

$0\mathrm{.}69$

$4\mathrm{.}25$

$10$

$0\mathrm{.}57$

$4\mathrm{.}16$

Group of answer choices

the UCL for X bar chart is not $3\mathrm{.}8644.$

the LCL for X bar chart is less than $3\mathrm{.}8644.$

Sample $3$ goes above UCL for X bar chart.

Sample $9$ goes above UCL for X bar.

the UCL for R bar chart is less than $0\mathrm{.}6.$

the LCL for R bar chart is $0.$

Sample $3$ goes above UCL for R bar chart.

Sample $9$ goes above UCL for R bar chart.