Question

Given the following: n = 10 samples, X = 0.30 inches and the process range of R = 0.0025 inches. What are the control limits of the X - chart and R - chart?

Please show specific with the step by step.

Answer #1

Twelve samples, each containing five parts, were taken from a
process that produces steel rods at Emmanual Kodzi's factory. The
length of each rod in the samples was determined. The results were
tabulated and sample means and ranges were computed.
Refer to Table S6.1 - Factors for computing control chart limits
(3 sigma) for this problem.
Sample
Size, n
Mean Factor,
A2
Upper Range,
D4
Lower Range,
D3
2
1.880
3.268
0
3
1.023
2.574
0
4
0.729
2.282
0...

1. Twelve samples, each
containing five parts, were taken from a process that produces
steel rods. The length of each rod is the sample was determined.
The results were tabulated and sample means and ranges were
computed.
Sample Sample Mean (in.) Range (in.)
Sample
Sample Mean (inches)
Sample Range (inches)
1
10.001
0.011
2
10.003
0.014
3
9.995
0.007
4
10.007
0.022
5
9.997
0.013
6
9.999
0.012
7
10.001
0.008
8
10.006
0.014
9
9.994
0.005
10
10.002
0.010...

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 samples have been taken from an on-going process.
Use these values to create both an X bar and an R chart, and then
answer the questions below. Please show work.
Sample 1: 56 48 53 58 52
Sample 2: 50 59 57 56 54
Sample 3: 61 59 56 55 58
Sample 4: 57 51 49 57 50
Sample 5: 50 49 57 55 56
Sample 6: 56 55 60 58 57
A) What is the value of...

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...

The Money Pit Mortgage Company is interested in monitoring the
performance of the mortgage process. Fifteen samples of five
completed mortgage transactions each were taken during a period
when the process was believed to be in control. The times to
complete the transactions were measured. The means and ranges of
the mortgage process transaction times, measured in days, are as
follows:
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Mean
19...

A dog food company packages their food in 40 lbs bags. After
taking 9 samples of 6 bags and determining their process to be in
control x -bar -bar = 42.5875
and R bar = 1.2937
1) compute the upper control limits / lower control limits for
both X and R
2) what is n in this situation
3) calculate the Natural Tolarence Limits

The results of inspection of DNA samples taken over the past
10 days are given below. Sample size is 100.
Day
1
2
3
4
5
6
7
8
9
10
# of defectives
7
6
6
9
5
0
0
8
6
1
(a) Determine the fraction defective of the p chart. Please
give the formula and at least one step of calculation for full
credit. (6 points)
(b) Determine the of the p chart. Please give the formula...

Bongo’s nut bar is produced at a highly automated
facility. One of the quality control factors is the
weight of each bar. Samples of 10 bars are taken
regularly and adjustments are made based on the outcome of quality
control process. Average weights and ranges of the
latest samples are reported as following:
Sample
Average
weight
(gram)
Range
1
51
5
2
53
4
3
48
1
4
49
3
5
52
2
What is the upper control limit of X chart?
50.5...

A. A series of 33 samples of size 100 have been produced. The
total number of defectives in the samples is 51. Determine the
fraction of nonconforming product control chart upper
limit
B. Determine the Average Run Length (ARL) of a x-bar chart with
limits where the process has shifted one standard deviation in one
direction
C. A product has a target length of 20.0 cm, and the process has
a standard value for the standard deviation of 0.05 cm....

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