Q5 / Is a qualitative control chart suitable for the production process represented by the following data collected during a month? No X1 X2 X3 X4 X5 1 9.92 9.94 9.93 9.95 9.93 2 9.95 9.96 9.96 9.97 9.94 9.98 9.94 9.95 9.97 9.93 4 9.99 9.92 9.93 9.94 9.92 5 9.93 9.95 9.99 9.93 9.94 9.96 9.97 9.94 9.98 9.99 7 9.97 9.94 9.92 9.92 9.93 8 9.94 9.96 9.95 9.96 9.92 9.95 39.93 9.97 9.96 9.98 10 9.96 9.92 9.92 9.94 9.93 Draw the awareness control chart for each of 1- the arithmetic mean 2- the range, knowing that the table for the values of D4, D3, B2, B1, A2 is ,, A2 B1 B2 D3 D4 2 1.880 3.267 3.286 1.023 2.568 2.574 4 0.729 2.266 2.282 5 0.577 2.089 2.114 0.483 0.030 1.970 2.004 7 0.419 0.118 1.882 0.076 1.924 8 0.373 0.185 1.815 0.136 1.864 0.337 0.229 1.761 0.816 1.816 10 0.308 0.284 1.716 0.223 1.777
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.
![Q5 / Is a qualitative control chart suitable for the production process represented by the following
data collected during a month?
No
X1
X2
X3
X4
X5
1
9.92
9.94
9.93
9.95
9.93
2
9.95
9.96
9.96
9.97
9.94
3
9.98
9.94
9.95
9.97
9.93
4
9.99
9.92
9.93
9.94
9.92
5
9.93
9.95
9.99 9.93
9.94
9.96
9.97
9.94
9.98
9.99
7
9.97
9.94
9.92 9.92
9.93
8
9.94
9.96
9.95
9.96
9.92
9
9.95
39.93
9.97
9.96
9.98
10
9.96
9.92
9.92 | 9.94
9.93
Draw the awareness control chart for each of 1- the arithmetic mean 2- the range, knowing that
the table for the values of D4, D3, B2, B1, A2 is , ,
m
A2
B1
B2
D3
D4
2
1.880
3.267
3.286
3
1.023
2.568
2.574
4
0.729
2.266
2.282
5
0.577
2.089
2.114
6
0.483
0.030
1.970
2.004
7
0.419
0.118
1.882
0.076
1.924
8
0.373
0.185
1.815
0.136
1.864
9.
0.337
0.229
1.761
0.816
1.816
10
0.308
0.284
1.716
0.223
1.777](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccfbebcf-ac67-4688-9bae-9a64968fe52d%2Fb9d47d76-1f98-4f0f-9f64-0ac434a91eca%2Fkncl79_processed.jpeg&w=3840&q=75)
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