Question 1

Does the following control chart represent a process that is in control or out of control? If it
is out of control, explain how you arrived at this conclusion.

Accepted Answer

in control

Question 2

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Accepted Answer

in control

Question 3

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24 ounces. The company would like to use control charts to monitor the performance of the machine. The company decides to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } 
\hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \
\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \
2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \
3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \
4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \
5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \
6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \
7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \
8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \
9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \
10 & 24.2 & 0.60 & 20 & 24.2 & 1.01 \
\hline
\end{array}$$
-Find the upper and lower control limits for the R-chart.

Accepted Answer

Upper Control Limit $= \bar { R } D _ { 4 } = 1.1235 ( 1.777 ) = 1.996$
Lower Control Limit $= \bar { R } D _ { 3 } = 1.1235 ( 0.223 ) = 0.251$

Question 4

_______ are boundary points that define the acceptable values for an output variable.
A) Control bounds
B) Tolerance limits
C) Capability limits
D) Specification limits

Accepted Answer

Specification limits are the boundary points that define the acceptable values for an output variable in a process or product.

Question 5

(Situation D) A walk-in freezer thermostat at a restaurant is set at 5°F. Because of the perishability of the food in the freezer, the restaurant manager has decided to begin monitoring the temperature inside the freezer. The managers used a precision thermometer to take sample temperature readings at five randomly chosen times per day for 10 days. The data are presented below.

$\text { Day } $ $\quad $ $\quad $ $\text { Temperature }\left(^{\circ}\right. \text { F) } $
$\begin{array}{rrrrrr}
\hline 1 & 5.22 & 5.29 & 5.11 & 4.95 & 4.78 \
2 & 4.40 & 4.41 & 4.63 & 6.03 & 4.83 \
3 & 5.11 & 5.43 & 4.90 & 4.55 & 5.23 \
4 & 5.65 & 4.24 & 5.09 & 4.82 & 5.50 \
5 & 4.68 & 5.92 & 4.71 & 4.67 & 4.75 \
6 & 5.01 & 5.26 & 6.10 & 5.20 & 5.25 \
7 & 5.20 & 4.99 & 5.15 & 5.96 & 5.35 \
8 & 4.30 & 4.91 & 5.03 & 4.97 & 4.80 \
9 & 5.45 & 5.62 & 6.11 & 5.13 & 4.90 \
10 & 5.06 & 5.13 & 4.95 & 5.59 & 5.80 \
\hline
\end{array}$

-Calculate the centerline of the R-chart.

Accepted Answer

The answer of (Situation D) A walk-in freezer thermostat at...

Question 6

The table below shows the data from samples of size $ n=5 $ randomly chosen from the outputs of a process on 20 different days.
$\begin{array}{cccccc}
\hline \text { Sample } & & & \text { Data } & & \
\hline 1 & 4.5 & 2.1 & 5.4 & 2.7 & 4.5 \
2 & 3.6 & 3.5 & 6.1 & 4.9 & 4.2 \
3 & 5.1 & 6.2 & 2.4 & 3.7 & 5.1 \
4 & 4.9 & 5.4 & 3.5 & 5.4 & 3.7 \
5 & 4.1 & 3.8 & 3.8 & 4.6 & 4.9 \
6 & 3.7 & 4.6 & 4.8 & 4.2 & 5.2 \
7 & 5.6 & 4.7 & 4.1 & 5.1 & 3.1 \
8 & 4.8 & 5.1 & 4.3 & 4.6 & 2.7 \
9 & 6.1 & 4.6 & 4.7 & 3.8 & 4.2 \
10 & 2.4 & 4.8 & 5.6 & 4.1 & 4.8 \
11 & 3.7 & 5.3 & 2.9 & 4.7 & 6.3 \
12 & 4.5 & 3.4 & 3.4 & 5.2 & 4.5 \
13 & 5.2 & 2.7 & 5.1 & 6.2 & 2.9 \
14 & 3.4 & 5.5 & 4.6 & 2.4 & 3.4 \
15 & 4.8 & 3.6 & 4.8 & 4.4 & 4.6 \
16 & 4.1 & 4.6 & 4.9 & 4.9 & 4.3 \
17 & 4.6 & 3.7 & 3.5 & 3.7 & 5.2 \
18 & 5.1 & 4.2 & 5.6 & 4.1 & 5.7 \
19 & 3.7 & 4.8 & 4.9 & 2.3 & 4.5 \
20 & 5.4 & 3.9 & 4.2 & 5.4 & 4.3 \
\hline
\end{array}$

a. $\text { Find } D_{3} \text { and } D_{4} \text {. }$
b. $\text { Construct an R-chart. }$
c. $\text { Is the process out of control? Explain. }$

Accepted Answer

The answer of The table below shows the data from...

Question 7

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Accepted Answer

The answer of Does the following control chart represent a...

Question 8

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Accepted Answer

The answer of Does the following control chart represent a...

Question 9

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24
ounces. The company would like to use control charts to monitor the performance of the machine. The company decides
to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty
measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } 
\hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \
\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \
2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \
3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \
4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \
5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \
6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \
7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \
8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \
9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \
10 & 24.2 & 0.60 & 20 & 24.2 & 1.01 \
\hline
\end{array}$$
-Calculate the centerline for constructing the $\bar { x } \text {-chart. }$

Accepted Answer

The answer of (Situation E) A machine at K-Company fills...

Question 10

The table below shows the data from samples of size $ n=5 $ randomly chosen from the outputs of a process on 20 different days. Assume the specification limits are USL $ =2.1 $ and $ \mathrm{LSL}=5.7 $.

$\begin{array}{cccccc}
\hline \text { Sample } & & {\text { Data }} \
\hline 1 & 4.5 & 2.1 & 5.4 & 2.7 & 4.5 \
2 & 3.6 & 3.5 & 6.1 & 4.9 & 4.2 \
3 & 5.1 & 6.2 & 2.4 & 3.7 & 5.1 \
4 & 4.9 & 5.4 & 3.5 & 5.4 & 3.7 \
5 & 4.1 & 3.8 & 3.8 & 4.6 & 4.9 \
6 & 3.7 & 4.6 & 4.8 & 4.2 & 5.2 \
7 & 5.6 & 4.7 & 4.1 & 5.1 & 3.1 \
8 & 4.8 & 5.1 & 4.3 & 4.6 & 2.7 \
9 & 6.1 & 4.6 & 4.7 & 3.8 & 4.2 \
10 & 2.4 & 4.8 & 5.6 & 4.1 & 4.8 \
11 & 3.7 & 5.3 & 2.9 & 4.7 & 6.3 \
12 & 4.5 & 3.4 & 3.4 & 5.2 & 4.5 \
13 & 5.2 & 2.7 & 5.1 & 6.2 & 2.9 \
14 & 3.4 & 5.5 & 4.6 & 2.4 & 3.4 \
15 & 4.8 & 3.6 & 4.8 & 4.4 & 4.6 \
16 & 4.1 & 4.6 & 4.9 & 4.9 & 4.3 \
17 & 4.6 & 3.7 & 3.5 & 3.7 & 5.2 \
18 & 5.1 & 4.2 & 5.6 & 4.1 & 5.7 \
19 & 3.7 & 4.8 & 4.9 & 2.3 & 4.5 \
20 & 5.4 & 3.9 & 4.2 & 5.4 & 4.3 \
\hline
\end{array}$
 a. Assuming the process is under control, construct a capability analysis diagram for the process.
b. Find the percentage of data items that fall outside the specification limits.
c. Is the process capable? Support your answer with a numerical measure of capability.

Accepted Answer

The answer of The table below shows the data from...

Question 11

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24 ounces. The company would like to use control charts to monitor the performance of the machine. The company decides to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } 
\hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \
\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \
2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \
3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \
4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \
5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \
6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \
7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \
8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \
9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \
10 & 24.2 & 0.60 & 20 & 24.2 & 1.01
\end{array}$$
-$$\text { Create the } \bar { x } \text {-chart and interpret it. }$$

Accepted Answer

The answer of (Situation E) A machine at K-Company fills...

Question 12

The upper and lower control limits are usually a distance of _______ from the centerline.
A) 3 standard deviations
B) 1 standard deviation
C) 2 standard deviations
D) 3.5 standard deviations

Accepted Answer

The upper and lower control limits in a control chart are typically set at 3 standard deviations from the centerline to capture the majority of data points in a normal distribution.

Question 13

The process of monitoring and eliminating variation in order to keep a process in a state of control or to bring a process into control is called
A) a process distribution.
B) random behavior.
C) statistical process control.
D) a control chart.

Accepted Answer

Statistical process control (SPC) is the method used to monitor and control a process to ensure it operates at its full potential. It involves using statistical methods to identify and eliminate variation in the process.

Question 14

(Situation B) A manufacturing company makes hemostats for hospital emergency rooms. The company is interested in implementing statistical process control procedures in its production operation. The production manager believes that the proportion of defective hemostats generated by the process is about 3%. The company collected one sample of 300 consecutively manufactured hemostats each day for 20 days. 
The data are shown below. 
$$\begin{array} { c c c c c c } 
\hline \text { Sample } & \text { Sample Size } & \text { Defectives } & \text { Sample } & \text { Sample Size } & \text { Defectives } \
\hline 1 & 300 & 8 & 11 & 300 & 12 \
2 & 300 & 6 & 12 & 300 & 11 \
3 & 300 & 11 & 13 & 300 & 14 \
4 & 300 & 15 & 14 & 300 & 8 \
5 & 300 & 12 & 15 & 300 & 7 \
6 & 300 & 11 & 16 & 300 & 3 \
7 & 300 & 9 & 17 & 300 & 9 \
8 & 300 & 6 & 18 & 300 & 11 \
9 & 300 & 5 & 19 & 300 & 10 \
10 & 300 & 4 & 20 & 300 & 6 \
\hline
\end{array}$$
-Construct the p-chart and interpret it.

Accepted Answer

The answer of (Situation B) A manufacturing company makes hemostats...

Question 15

The capability index for a process centered on the desired mean is

A) $C _ { p } = \frac { ( U S L - L S L ) } { 6 \sigma }$

B) $C _ { p } = \frac { 3 \sigma } { ( U S L - L S L ) }$

C) $C _ { p } = \frac { 6 \sigma } { ( U S L - L S L ) }$

D) $C _ { p } = \frac { ( U S L - L S L ) } { 3 \sigma }$

Accepted Answer

The capability index $C_p$ for a process centered on the desired mean is calculated as $C _ { p } = \frac { ( U S L - L S L ) } { 6 \sigma }$, which measures the potential capability of a process assuming it is centered between the specification limits.

Question 16

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Accepted Answer

The answer of Does the following control chart represent a...

Question 17

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24 ounces. The company would like to use control charts to monitor the performance of the machine. The company decides to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } 
\hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \
\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \
2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \
3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \
4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \
5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \
6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \
7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \
8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \
9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \
10 & 24.2 & 0.60 & 20 & 24.2 & 1.01
\end{array}$$
-Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Accepted Answer

The answer of (Situation E) A machine at K-Company fills...

Question 18

The primary goal of quality-improvement activities is
A) to reduce variation.
B) to increase the mean.
C) to increase variation.
D) to change the process.

Accepted Answer

The primary goal of quality-improvement activities is to reduce variation in processes to ensure consistent and predictable outcomes.

Question 19

A process is considered capable if 
A) $\mathrm { C } _ { \mathrm { p } } > 1$
B) $\mathrm { C } _ { \mathrm { p } } \leq 1$.
C) $\mathrm { C } _ { \mathrm { p } } \geq 1$.
D) $\mathrm { C } _ { \mathrm { p } } < 1$.

Accepted Answer

A process is considered capable if $\mathrm { C } _ { \mathrm { p } } \geq 1$. This means that the process is able to produce products that meet the customer's requirements.

Question 20

(Situation D) A walk-in freezer thermostat at a restaurant is set at 5°F. Because of the perishability of the food in the freezer, the restaurant manager has decided to begin monitoring the temperature inside the freezer. The managers used a precision thermometer to take sample temperature readings at five randomly chosen times per day for 10 days. The data are presented below.

$\text { Day } $ $\quad $ $\quad $ $\text { Temperature }\left(^{\circ}\right. \text { F) } $
$\begin{array}{rrrrrr}
\hline 1 & 5.22 & 5.29 & 5.11 & 4.95 & 4.78 \
2 & 4.40 & 4.41 & 4.63 & 6.03 & 4.83 \
3 & 5.11 & 5.43 & 4.90 & 4.55 & 5.23 \
4 & 5.65 & 4.24 & 5.09 & 4.82 & 5.50 \
5 & 4.68 & 5.92 & 4.71 & 4.67 & 4.75 \
6 & 5.01 & 5.26 & 6.10 & 5.20 & 5.25 \
7 & 5.20 & 4.99 & 5.15 & 5.96 & 5.35 \
8 & 4.30 & 4.91 & 5.03 & 4.97 & 4.80 \
9 & 5.45 & 5.62 & 6.11 & 5.13 & 4.90 \
10 & 5.06 & 5.13 & 4.95 & 5.59 & 5.80 \
\hline
\end{array}$

-Calculate the upper and lower control limits for the R-chart.

Accepted Answer

The answer of (Situation D) A walk-in freezer thermostat at...

Quiz 13: Methods for Quality Improvement: Statistical Process Control Available on CD

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

_______ are boundary points that define the acceptable values for an output variable.

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

The upper and lower control limits are usually a distance of _______ from the centerline.

The process of monitoring and eliminating variation in order to keep a process in a state of control or to bring a process into control is called

The capability index for a process centered on the desired mean is

Does the following control chart represent a process that is in control or out of control? If it is out of control, explain how you arrived at this conclusion.

The primary goal of quality-improvement activities is

A process is considered capable if