Question $1$

$10/10$ pts

Shirts.com makes business dress shirts. The shirts could have defects in various ways including in the weave or color of the fabric, loose buttons, wrong dimensions, and uneven stitches. $8$ shirts are randomly examined, with the following results. What is the UCL for a three$-$sigma control chart?

C$\_$bar$\_$HW$.$png

$9\mathrm{.}55$

$8\mathrm{.}35$

Correct!

$10\mathrm{.}65$

$11\mathrm{.}65$

Question $2$

$10/10$ pts

Shirts.com makes business dress shirts. The shirts could have defects in various ways including in the weave or color of the fabric, loose buttons, wrong dimensions, and uneven stitches. $8$ shirts are randomly examined, with the following results. What is the LCL for a three$-$sigma control chart?

C$\_$bar$\_$HW$.$png

$2\mathrm{.}00$

Correct!

$0\mathrm{.}00$

$-1\mathrm{.}90$

$1\mathrm{.}90$

Question $3$

$10/10$ pts

Shirts.com makes business dress shirts. The shirts could have defects in various ways including in the weave or color of the fabric, loose buttons, wrong dimensions, and uneven stitches. $8$ shirts are randomly examined, with the following results. Is the process in control?

C$\_$bar$\_$HW$.$png

No$,$ the process is not in control.

Not enough information to determine this.

Correct!

Yes, the process is in control.

Question $4$

$10/10$ pts

A medical facility does MRIs. Occasionally, the test yield inconclusive results and have to be repeated. Using the following sample data and n $=100,$ determine the UCL $($to three decimals$)$ for a two$-$sigma control chart.

Sample $12345678910$

Number of Retests $4116104616911$

$0\mathrm{.}144$

Correct!

$0\mathrm{.}118$

$0\mathrm{.}068$

$0\mathrm{.}129$

Question $5$

$10/10$ pts

A medical facility does MRIs. Occasionally, the test yield inconclusive results and have to be repeated. Using the following sample data and n $=100,$ determine the LCL $($to three decimals$)$ for a two$-$sigma control chart.

Sample $12345678910$

Number of Retests $4116104616911$

$0\mathrm{.}025$

$0$

Correct!

$0\mathrm{.}018$

$-0\mathrm{.}008$

Question $6$

$10/10$ pts

A medical facility does MRIs. Occasionally, the test yield inconclusive results and have to be repeated. Using the following sample data and n $=100,$ determine if the process is in control, for a two$-$sigma control chart.

Sample $12345678910$

Number of Retests $4116104616911$

Yes, the process is in control.

Correct!

No$,$ the process is not in control.

Not enough information to determine this.

Question $7$

$10/10$ pts

The following data was collected from the manufacturing of an auto component. It represents the diameter $($in mm$)$ of that component. What is the UCL for a control chart using this data $($z$=3)?$

Sample Obs $1$ Obs $2$ Obs $3$ Obs $4$

$110121214$

$212111316$

$311131414$

$4111078$

$513121413$

$14\mathrm{.}09$

$13\mathrm{.}96$

Correct!

$14\mathrm{.}63$

$15\mathrm{.}12$

Question $8$

$10/10$ pts

The following data was collected from the manufacturing of an auto component. It represents the diameter $($in mm$)$ of that component. What is the LCL for a control chart using this data $($z$=3)?$

Sample Obs $1$ Obs $2$ Obs $3$ Obs $4$

$110121214$

$212111316$

$311131414$

$4111078$

$513121413$

Correct!

$9\mathrm{.}37$

$7\mathrm{.}69$

$6\mathrm{.}46$

$9\mathrm{.}91$

Question $9$

$10/10$ pts

The following data was collected from the manufacturing of an auto component. It represents the diameter $($in mm$)$ of that component. Is the process in control $($z$=3)?$

Sample Obs $1$ Obs $2$ Obs $3$ Obs $4$

$110121214$

$212111316$

$311131414$

$4111078$

$513121413$

Yes, the process is in control.

Correct!

No$,$ the process in not in control.

Not enough information to determine this.

Question $10$

$10/10$ pts

A pizza delivery service has an average delivery time of $26\mathrm{.}2$ minutes and a standard deviation of $1\mathrm{.}35$ minutes. The nominal value is $25$ minutes with a tolerance of $5$ minutes. Is the delivery process capable at the $3-$sigma level? Is the variability too high?

$***$ PLEASE NOTE that process capability$/$index is NOT covered on Exam $1.$ So please simply select "Process is not capable because Cpk $<1$; process variability not too high as Cp $>1"$ as the correct answer to get full points for this homework question.

Process is capable because Cpk $<1$; process variability too high as Cp $>1$

Process is capable because Cpk $>1$; process variability not too high as Cp $<1$

Correct!

Process is not capable because Cpk $<1$; process variability not too high as Cp $>1$

Process is not capable because Cpk $<1$; process variability too high as Cp $<1$