Question

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. **(Round the value for the centerline to 2
decimal places and the values for the UCL and LCL to 3 decimal
places.)**

Answer #1

Case I: Center line =0.09 , Upper control Limit (UCL) = 0.132 , Lower Control limit (LCL) = 0.047.

Case 2 : Center line =0.09 , Upper control Limit (UCL) = 0.140 , Lower Control limit (LCL) = 0.039

Please Refer to Explanation in below screenshots:

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...

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,...

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...

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?

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
0
2
15
0
3
15
0
4
15
2
5
15
0
6
15
3
7
15
1
8
15
0
9
15
3
10
15
1
a.
Determine the p−p−, Sp, UCL and LCL...

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...

A process sampled 20 times with a sample of size 8 resulted
in = 23.5 and R = 1.8.
Compute the upper and lower control limits for the x chart for
this process. (Round your answers to two decimal places.)
UCL=________.
LCL=________.
Compute the upper and lower control limits for the R
chart for this process. (Round your answers to two decimal
places.)
UCL=_________.
LCL=___________.

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
0
2
15
2
3
15
0
4
15
3
5
15
1
6
15
3
7
15
1
8
15
0
9
15
0
10
15
0
a.
Determine the p−p−, Sp, UCL and LCL...

A random sample of size n = 75 is taken from a
population of size N = 650 with a population proportion
p = 0.60.
Is it necessary to apply the finite population correction
factor? Yes or No?
Calculate the expected value and the standard error of the
sample proportion. (Round "expected value" to 2 decimal
places and "standard error" to 4 decimal places.)
What is the probability that the sample proportion is less than
0.50? (Round “z” value to...

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