Question

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 and
at least one step of calculation for full credit. (6 points)

(c) Determine the 3-sigma upper control limit and the 3-sigma
lower control limit of the p chart. For each control limit, provide
at least one step of calculation for full credit.

Answer #1

Edit question
The results of inspection of samples of a product taken over the
past 5 days are given below. Sample size for each day has been
100:
Day 1
2
3
4
5
Defectives
2
6
14 3
7
Determine the UCL for this chart
Determine the LCL for this chart
Is this process in control?

A company collects 20 samples with 100 eggs in each sample. They
want to construct a P chart to track the proportion of broken eggs
in each sample. The table below shows the number of defective eggs
per sample.
Sample
Eggs
1
3
2
5
3
3
4
4
5
2
6
4
7
2
8
6
9
4
10
9
11
2
12
6
13
5
14
1
15
5
16
0
17
2
18
6
19
2
20...

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...

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...

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...

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

HCH Manufacturing has decided to use a p-Chart with 2-sigma
control limits to monitor the proportion of defective steel bars
produced by their production process. The quality control manager
randomly samples 250 steel bars at 12 successively selected time
periods and counts the number of defective steel bars in the
sample.
Sample Defects
1 7
2 10
3 14
4 8
5 9
6 11
7 9
8 9
9 14
10 11
11 7
12 8
Step 1 of...

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 process produces parts that are determined to be usable or
unusable. The process average defective rate is 1%. You plan to
monitor this process by taking samples of 400 parts.
Sample: 1 2 3 4 5 6 7 8 9 10
Defectives: 6 2 5 6 0 4 8 0 2 8
(A.) What is your p chart UCL?
(B.) What is your p chart LCL?
(C.) Is this process in control or not?

A manufacturing company makes runners for cabinet drawers. To
assess the quality of the manufacturing process, the company
collected one sample of 300 consecutively manufactured runners each
day for 20 days and counted the number of defective items. The
resulting sample data are:
Sample: 1 2 3 4 5 6 7 8 9
10
Sample Size: 300 300 300 300 300 300 300 300 300
300
Defectives: 8 6
11 15 12
11 9 6 5 4
The Upper Control Limit, UCL, for a p control chart based on the
above data is

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