Question

Random samples of size n = 200 are taken from a population with p = 0.08.

a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p¯chart

b. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p¯ chart if samples of 120 are used.

c. Discuss the effect of the sample size on the control limits. The control limits have a ___ spread with smaller sizes due to the_____ standard error for the smaller sample size.

Answer #1

Random samples of size n = 410 are taken from a
population with p = 0.09.
Calculate the centerline, the upper control limit (UCL), and the
lower control limit (LCL) for the p¯p¯ chart.
(Round the value for the centerline to 2 decimal places and
the values for the UCL and LCL to 3 decimal places.)
Calculate the centerline, the upper control limit (UCL), and the
lower control limit (LCL) for the p¯p¯ chart if samples of
290 are used....

Random samples of size n= 400 are taken from a
population with p= 0.15.
a.Calculate the centerline, the upper control
limit (UCL), and the lower control limit (LCL) for the p
chart.
b.Suppose six samples of size 400 produced the
following sample proportions: 0.06, 0.11, 0.09, 0.08, 0.14, and
0.16. Is the production process under control?

QUESTION 20 Five samples of size 12 were collected. The data are
provided in the following table:
Sample number 1 2 3 4 5
Sample mean 4.80 4.62 4.81 4.55 4.92
Sample standard deviation 0.30 0.33 0.31 0.32 0.37
The upper control limit (UCL) and lower control limit (LCL) for
an s-chart are:
1.LCL = 0.0971, UCL = 0.5868.
2.LCL = 0.1154, UCL = 0.5366.
3.LCL = 0.1011, UCL = 0.6109.
4.LCL = 0.1034, UCL = 0.6246.
5.LCL = 0.0994,...

A manufacturing process produces steel rods in batches of 2,200.
The firm believes that the percent of defective items generated by
this process is 4.3%.
a. Calculate the centerline, the upper control
limit (UCL), and the lower control limit (LCL) for the p¯p¯ chart.
(Round your answers to 3 decimal places.)
centerline-
Upper control limit-
Lower control limit-
b. An engineer inspects the next batch of 2,200
steel rods and finds that 5.5% are defective. Is the manufacturing
process under...

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...

Ten samples of 15 parts each were taken from an ongoing process
to establish a p-chart for control. The samples and the
number of defectives in each are shown in the following
table:
SAMPLE
n
NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE
1
15
2
2
15
2
3
15
2
4
15
0
5
15
2
6
15
1
7
15
3
8
15
2
9
15
1
10
15
3
a. Determine the p−p− , Sp,
UCL and...

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...

A manufacturing process produces steel rods in batches of 1,700.
The firm believes that the percent of defective items generated by
this process is 5.4%. a. Calculate the centerline, the upper
control limit (UCL), and the lower control limit (LCL) for the p⎯⎯
chart. (Round your answers to 3 decimal places.) b. An engineer
inspects the next batch of 1,700 steel rods and finds that 6.5% are
defective. Is the manufacturing process under control?

Consider random samples of size 82 drawn from population
A with proportion 0.45 and random samples of size 64 drawn
from population B with proportion 0.11 .
(a) Find the standard error of the distribution of differences
in sample proportions, p^A-p^B.
Round your answer for the standard error to three decimal
places.
standard error = Enter your answer in accordance to the question
statement
(b) Are the sample sizes large enough for the Central Limit
Theorem to apply?...

Consider random samples of size 58 drawn from population
A with proportion 0.78 and random samples of size 76 drawn
from population B with proportion 0.68 .
(a) Find the standard error of the distribution of differences
in sample proportions, p^A-p^B.
Round your answer for the standard error to three decimal
places.
standard error = Enter your answer in accordance to the question
statement
(b) Are the sample sizes large enough for the Central Limit
Theorem to apply?
Yes
No

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