# Statistics Engineering Probability Project Report

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Mathematics

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Engineering Probability Project
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## Explanation & Answer

ENGINEERING PROBABILITY PROJECT: OUTLINE

Project Part 1: Normal Distribution

Definition of Variable
Data Collection
Data Set
Descriptive Statistics
Box and Whiskers Plot
Frequency Distribution Table
Histogram
Chi-square Goodness-of-Fit Test

Project Part 2: Exponential Distribution

Definition of Variable
Data Collection
Data Set
Descriptive Statistics
Box and Whiskers Plot
Frequency Distribution Table
Histogram
Chi-square Goodness-of-Fit Test

Appendix

Project Part 1: Normal Distribution
Project Part 2: Exponential Distribution

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ENGINEERING PROBABILITY PROJECT
PROJECT PART 1: NORMAL DISTRIBUTION
Definition of Variable: The data below are the synthetic records of height of 18 years old
children.
Data Collection: The data were gathered on 1993 by a Growth Survey of 25,000 children 18
years of age recruited from Maternal and Child Healthcare Centers (MCHC) and schools. Only a
random sample of 200 individuals were included in this list. The researchers did a simple random
sampling to gather the 25,000 data, but since the number of participants is too large to replicate,
other researchers who want to replicate the experiment should do a simple random sampling of a
smaller number of participants and measure the height of the participants, in this case, 18-yearold children.
Data Set:
Height(Inches)
65.78
71.52
69.4
68.22
67.79
68.7
69.8
70.01
67.9
66.78
66.49
67.62
68.3
67.12
68.28
71.09
66.46
68.65
71.23
67.13
67.83
68.88

63.48

66.88

65.27

68.42

67.7

70.84

67.63

69.82

69.92

67.21

69.09

64.29

70.84

69.91

68.25

67.49

67.33

66.36

66.53

70.27

68.36

65.44

69.1

65.48

69.52

65.38

69.72

65.81

70.18

67.73

67.82

70.41

68.64

70.6

66.54

66.78

71.8

66.36

70.05

69.21

67.54

66.28

66.8

66.5

69.2

67.66

69

69.13

67.81

68.3

67.36

64.05

67.01

70.09

68.57

70.81

70.18

65.18

68.22

68.23

69.66

69.06

68.13

67.97

67.73

70.24

65.98

67.22

71.49

68.67

67.37

69.2

70.06

67.21

68.71

66.81

70.56

69.42

68.89

66.89

66.29

68.94

69.54

65.74

63.43

67.94

67.4

65.98

66.77

65.63

66.48

66.58

68.89

66.5

66.01

67.11

64.87

67.93

72.44

65.87

67.09

68.89

64.13

66.78

68.35

70.24

70.98

68.74

65.61

68.27

67.5

66.23

67.76

71.23

7...

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