Question

Control charts for x bar and R with subgroup size=4 are used to monitor a normally distributed quality characteristic. The control charts parameter were: X bar chart UCL=813, x bar chart CL=800, x bar chart LCL=787. R chart UCL=46.98, R chart CL=20.59, R chart LCL=0, both charts exhibit control. If the process mean shift from 800 to 780. What is the probability of detecting this shift on or before the second sample?

A.

0.9934

B.

0.9834

C.

0.9993

D.

0.9894

It's a multiple choice question.

Answer #2

answered by: anonymous

19,Suppose that you monitor the fraction defectives in ounces of
a process that fills beer cans. The data given below were collected
in the production process. Each day, 20 cans are inspected. What
control chart would be the best for process monitoring? Calculate
UCL and LCL of the relevant chart.
Days # of defectives
1 2
2 3
3 5
4 1
5 2
x-bar chart, UCL = 0.042 and LCL = 0
c chart, UCL = 0.1462...

The General Widgets Company (GWC) is interested in setting up
x-bar and R charts, both with 3 sigma control limits on the net
weight of a 100 ounce widget. They have collected 100 samples using
the sample size of 9 and found that ?̿=99.95 and ?̅=1.3464.
However, they are planning on switching to a sample of size 4.
a)Set up the x-bar chart for a sample of size 4. b)Set up the R
chart for a sample of size 4....

Suppose you calculate “X bar bar” = 25 and “R bar” = 7.5
from 25 previous samples of size 5 each. Assume the quality
characteristic has a normal distribution and both the “X bar” and R
charts show statistical control of the process. Specification
limits are at 24 ± 7.
c) Calculate the percentage of items
outside the specification limits.
d) Calculate the capability index. Comment
on the capability of the process.

The following are quality control data for a manufacturing
process at Kensport Chemical Company. The data show the temperature
in degrees centigrade at five points in time during a manufacturing
cycle.
Sample
x
R
1
95.72
1.0
2
95.24
0.9
3
95.18
0.7
4
95.42
0.4
5
95.46
0.5
6
95.32
1.1
7
95.40
0.9
8
95.44
0.3
9
95.08
0.2
10
95.50
0.6
11
95.80
0.6
12
95.22
0.2
13
95.58
1.3
14
95.22
0.6
15
95.04
0.8
16...

The following are quality control data for a manufacturing
process at Kensport Chemical Company. The data show the temperature
in degrees centigrade at five points in time during a manufacturing
cycle.
Sample
x
R
1
95.72
1.0
2
95.24
0.9
3
95.18
0.7
4
95.42
0.4
5
95.46
0.5
6
95.32
1.1
7
95.40
0.9
8
95.44
0.3
9
95.08
0.2
10
95.50
0.6
11
95.80
0.6
12
95.22
0.2
13
95.60
1.3
14
95.22
0.6
15
95.04
0.8
16...

1) Both X bar chart and R chart must be out of control for the
process to be out of control true /False
2) A process in control does not produce unacceptable output.
true /False
3) A process is capable if the variations fall within +- 3
standard deviation true /False
4) Control charts tell Project Managers how to control the
project. true /False

The following are quality control data for a manufacturing
process at Kensport Chemical Company. The data show the temperature
in degrees centigrade at five points in time during a manufacturing
cycle.
Sample
x
R
1
95.72
1.0
2
95.24
0.9
3
95.18
0.7
4
95.44
0.4
5
95.46
0.5
6
95.32
1.1
7
95.40
0.9
8
95.44
0.3
9
95.08
0.2
10
95.50
0.6
11
95.80
0.6
12
95.22
0.2
13
95.54
1.3
14
95.22
0.6
15
95.04
0.8
16...

The following data is X-Bar and R values for 12 samples of size
n = 5. They were taken from a process measuring various inductance
values for a new production line of high fidelity speakers.
Subgroup No., (X-Bar), ((Range))
1 (345) ((13)), 2 (347) ((14)), 3 (350) ((12)), 4 (346) ((11)),
5 (350) ((15)), 6 (345) ((16)), 7 (349)((14)), 8 (348) ((13)), 9
(348)((12)), 10 (354) ((15)), 11 (352) ((13)), 12 (355) ((16))
Create X-Bar and R control charts from...

1. T F Sometimes
the interquartile range is used in establishing x bar
charts
2. T F The
selection of the equation to determine the probability of accepting
a sample is partially based on the size of the sample.
3. T F R charts
may be used in place of S charts to control the variability of a
measurement
4. T F If I was
interested in the control of the number of defects on a particular
product, I would...

1
An x̅ chart with a sample size of 4 is used to control the mean
of a normally distributed quality characteristic. It is known that
process standard deviation is 8. The upper and lower control limits
of the chart are 147 and 123 respectively. Assume the process mean
shifts to 121.
What is the probability that this shift is detected on the first
subsequent sample?
What is expected number of samples taken before the shift is
detected?
2
The...

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