1 37.5 34.0 35.5 35.3 32.8 35.5 35.8 34.3 36.0 32.8 3 36.3 34.5 35.0 34.5 33.5 4 37.3 33.5 35.8 35.3 35.5 35.0 35.0 32.8 33.0 35.8 6. 36.8 32.5 33.8 33.5 33.5 7 37.3 32.8 34.3 36.0 35.0 8. 36.0 36.5 35.0 33.5 36.3 9. 38.5 33.5 33.0 33.5 33.8 10 35.8 33.5 34.0 34.8 34.5 11 35.8 34.5 35.0 35.0 35.3 12 36.5 33.8 35.8 36.3 34.5 13 36.0 35.8 32.5 35.0 35.3 14 37.3 35.3 36.3 34.0 34.5 15 38.0 34.3 34.8 34.8 33.8 For the above given schedule. X-chart value of: LCL = CL = UCL = R-chart value of: LCL = CL = UCL = %D Given that: D5 = 2.115 and A5 = 0.577
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.
![Sub. Grp#
S-1
S-2
S-3
S-4
S-5
1
37.5
34.0
35.5
35.3
32.8
35.5
35.8
34.3
36.0
32.8
3
36.3
34.5
35.0
34.5
33.5
4
37.3
33.5
35.8
35.3
35.5
35.0
35.0
32.8
33.0
35.8
6.
36.8
32.5
33.8
33.5
33.5
7
37.3
32.8
34.3
36.0
35.0
8
36.0
36.5
35.0
33.5
36.3
38.5
33.5
33.0
33.5
33.8
10
35.8
33.5
34.0
34.8
34.5
11
35.8
34.5
35.0
35.0
35.3
12
36.5
33.8
35.8
36.3
34.5
13
36.0
35.8
32.5
35.0
35.3
14
37.3
35.3
36.3
34.0
34.5
15
38.0
34.3
34.8
34.8
33.8
For the above given schedule.
X-chart value of:
LCL =
CL =
UCL =
%3D
R-chart value of:
LCL =
CL =
UCL =
Given that: D5 = 2.115 and A5 =
0.577
Approximate answers to TWO
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