The following table gives the results of daily inspections of 800 units of a standard-design electronic device produced during the month of June 2020.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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The following table gives the results of daily inspections of 800 units of a standard-design
wered
electronic device produced during the month of June 2020.
cof
estion
Date in June Rejects
3
10
4.
12
16
6
10
7
12
10
21
11
17
12
12
13
13
14
14
17
14
18
20
19
22
20
12
21
14
24
15
25
15
26
27
10
28
12
a)
Estimate the total proportion of rejects during this month.
The proportion rejected is: 0.013
b)
Establish a single set of control limits for the daily fraction of rejects, showing the daily results.
The proportion of the rejects over the 20 working days of June 2020 is as follow:
Date in June
Proportion
3
4
21
MAY
280
VECDEWUR
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10
28
12
a)
Estimate the total proportion of rejects during this month.
The proportion rejected is: 0.013
b) Establish a single set of control limits for the daily fraction of rejects, showing the daily results.
The proportion of the rejects over the 20 working days of June 2020 is as follow:
Date in June
Proportion
3
6.
7
10
11
12
13
14
17
18
19
20
21
24
25
26
27
28
The control limits are as follows:
UCL = 3.726
LCL =
CL = 0.018
c)
Comment on the stability of the manufacturing process.
The process is Stable
21
MAY
ottv
R mn
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