SUN COAST REMEDIATION
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Sun Coast Remediation
Ariel Ramon Acosta
Columbia Southern University
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Table of Contents
Executive Summary ........................................................................................................................ 5
Introduction ..................................................................................................................................... 6
Statement of the Problems .............................................................................................................. 6
Particulate Matter (PM) ............................................................................................................... 6
Safety Training Effectiveness ..................................................................................................... 7
Sound-Level Exposure ................................................................................................................ 7
New Employee Training ............................................................................................................. 7
Lead Exposure ............................................................................................................................. 8
Return on Investment .................................................................................................................. 8
Literature Review............................................................................................................................ 8
Economic growth .......................................................................Error! Bookmark not defined.
Safety training ............................................................................Error! Bookmark not defined.
Lead Exposures ..........................................................................Error! Bookmark not defined.
Decibel levels .............................................................................Error! Bookmark not defined.
Research Objectives ........................................................................................................................ 8
Research Questions and Hypotheses ......................................................................................... 12
Research Methodology, Design, and Methods ............................................................................. 13
Research Methodology.............................................................................................................. 14
Research Design ........................................................................................................................ 14
Research methods. ..................................................................................................................... 14
Data collection methods. ............................................................................................................... 15
Sampling design ........................................................................................................................ 15
Data Analysis Procedure. .............................................................................................................. 15
Data Analysis: Descriptive Statistics and Assumption Testing ................................................ 16
Correlation: Descriptive Statistics and Assumption Testing ................................................. 16
Measurement scale. ................................................................................................................... 18
Measure of central tendency .................................................................................................. 18
Evaluation .............................................................................................................................. 18
Simple Regression: Descriptive Statistics and Assumption Testing ......................................... 19
Frequency distribution table. ................................................................................................. 19
Histogram. ............................................................................................................................. 20
Descriptive statistics table. .................................................................................................... 20
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Measurement scale. ................................................................................................................... 21
Measure of central tendency. ................................................................................................. 21
Evaluation. ............................................................................................................................. 21
Multiple Regression: Descriptive Statistics and Assumption Testing ...................................... 22
Frequency distribution table. ................................................................................................. 22
Histogram. ............................................................................................................................. 23
Descriptive statistics table. .................................................................................................... 23
Measurement scale. ................................................................................................................... 24
Measure of central tendency. ................................................................................................. 25
Evaluation. ............................................................................................................................. 25
Independent Samples t Test: Descriptive Statistics and Assumption Testing .......................... 26
Frequency distribution table. ................................................................................................. 26
Histogram. ............................................................................................................................. 26
Descriptive statistics table. .................................................................................................... 27
Measurement scale. ................................................................................................................... 27
Measure of central tendency. ................................................................................................. 28
Evaluation. ............................................................................................................................. 28
Dependent Samples (Paired-Samples) t Test: Descriptive Statistics and Assumption Testing 29
Frequency distribution table .................................................................................................. 29
Histogram. ............................................................................................................................. 29
Descriptive statistics table. .................................................................................................... 30
Measurement scale. ................................................................................................................... 30
Measure of central tendency. ................................................................................................. 31
Evaluation. ............................................................................................................................. 31
ANOVA: Descriptive Statistics and Assumption Testing ........................................................ 32
Frequency distribution table .................................................................................................. 32
Histogram. ............................................................................................................................. 32
Descriptive statistics table. .................................................................................................... 32
Measurement scale. ................................................................................................................... 33
Measure of central tendency. ................................................................................................. 34
Evaluation. ............................................................................................................................. 34
Data Analysis: Hypothesis Testing ............................................................................................... 35
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Correlation: Hypothesis Testing................................................................................................ 35
SUMMARY OUTPUT .......................................................................................................... 35
ANOVA ................................................................................................................................. 36
Simple Regression: Hypothesis Testing.................................................................................... 37
SUMMARY OUTPUT .......................................................................................................... 37
ANOVA ................................................................................................................................. 37
Multiple Regression: Hypothesis Testing ................................................................................. 38
SUMMARY OUTPUT .......................................................................................................... 38
ANOVA ................................................................................................................................. 39
Independent Samples t-Test: Hypothesis Testing ..................................................................... 41
Dependent Samples (Paired Samples) t-Test: Hypothesis Testing ........................................... 42
ANOVA: Hypothesis Testing ................................................................................................... 43
SUMMARY........................................................................................................................... 43
ANOVA ................................................................................................................................. 44
Findings......................................................................................................................................... 44
Recommendations ......................................................................................................................... 46
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Executive Summary
The leadership of Sun Coast through various means of research established six pertinent
issues that affect the organization. It prompted instigation of a research process that aimed at
establishing various solutions for the problems. The problems included particulate matter, safety
training effectiveness, sound level exposure, new employee training, lead exposure and return on
investment. During the research, the team used various techniques of investigations and data
collection that included sampling and evaluation as well as descriptive and assumptive statistics.
Through the above-mentioned methods, invaluable data was obtained and consequently analyzed
and the inferences presented to formulate the findings of the survey. Various pictographic
depictions of the data found establish the basis for the findings and recommendations that
characterize the research. The findings then guided the team to provide recommendations on the
best venues for solving the six problems.
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Introduction
Senior leadership at Sun Coast has identified several areas for concern that they believe
could be solved using business research methods. The previous director was tasked with
conducting research to help provide information to make decisions about these issues. Although
data were collected, the project was never completed. Senior leadership is interested in seeing the
project through to fruition. The following is the completion of that project and includes the
statement of the problems, literature review, research objectives, research questions and
hypotheses, research methodology, design, and methods, data analysis, findings, and
recommendations.
Statement of the Problems
Six business problems were identified:
Particulate Matter (PM)
There is a concern that job-site particle pollution is adversely impacting employee health.
Although respirators are required in certain environments, PM varies in size depending on the
project and job site. PM that is between 10 and 2.5 microns can float in the air for minutes to
hours (e.g., asbestos, mold spores, pollen, cement dust, fly ash), while PM that is less than 2.5
microns can float in the air for hours to weeks (e.g. bacteria, viruses, oil smoke, smog, soot). Due
to the smaller size of PM that is less than 2.5 microns, it is potentially more harmful than PM
that is between 10 and 2.5 since the conditions are more suitable for inhalation. PM that is less
than 2.5 is also able to be inhaled into the deeper regions of the lungs, potentially causing more
deleterious health effects. It would be helpful to understand if there is a relationship between PM
size and employee health. PM air quality data have been collected from 103 job sites, which is
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recorded in microns. Data are also available for average annual sick days per employee per jobsite.
Safety Training Effectiveness
Health and safety training is conducted for each new contract that is awarded to Sun
Coast. Data for training expenditures and lost-time hours were collected from 223 contracts. It
would be valuable to know if training has been successful in reducing lost-time hours and, if so,
how to predict lost-time hours from training expenditures.
Sound-Level Exposure
Sun Coast’s contracts generally involve work in noisy environments due to a variety of
heavy equipment being used for both remediation and the clients’ ongoing operations on the job
sites. Standard ear-plugs are adequate to protect employee hearing if the decibel levels are less
than 120 decibels (dB). For environments with noise levels exceeding 120 dB, more advanced
and expensive hearing protection is required, such as earmuffs. Historical data have been
collected from 1,503 contracts for several variables that are believed to contribute to excessive
dB levels. It would be important if these data could be used to predict the dB levels of work
environments before placing employees on-site for future contracts. This would help the safety
department plan for procurement of appropriate ear protection for employees.
New Employee Training
All new Sun Coast employees participate in general health and safety training. The
training program was revamped and implemented six months ago. Upon completion of the
training programs, the employees are tested on their knowledge. Test data are available for two
groups: Group A employees who participated in the prior training program and Group B
7
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employees who participated in the revised training program. It is necessary to know if the revised
training program is more effective than the prior training program.
Lead Exposure
Employees working on job sites to remediate lead must be monitored. Lead levels in
blood are measured as micrograms of lead per deciliter of blood (μg/dL). A baseline blood test is
taken pre-exposure and postexposure at the conclusion of the remediation. Data are available for
49 employees who recently concluded a 2-year lead remediation project. It is necessary to
determine if blood lead levels have increased.
Return on Investment
Sun Coast offers four lines of service to their customers, including air monitoring, soil
remediation, water reclamation, and health and safety training. Sun Coast would like to know if
each line of service offers the same return on investment. Return on investment data are available
for air monitoring, soil remediation, water reclamation, and health and safety training projects. If
return on investment is not the same for all lines of service, it would be helpful to know where
differences exist.
Literature Review
Within our organization of Sun Coast, we have identified some areas of concern that may
be solved or addressed with solutions to improve. Those problems identified are exposure to
particulate matter, effectiveness of safety training, excess exposure to sound levels, training for
new employees, excess lead exposure, and return on investment. I believe with the appropriate
research we can improve our company and find solutions to problems or completely eliminate
any concerns we might have.
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With the increasing industrialization and urbanization, there has been massive emission
of toxic substances that have impacted both human health and climatic conditions. Studies have
shown that economic activities resulting to massive production of volatile organic compounds
such as sulphur oxides, oxides of nitrogen and carbon (II) oxides among other compounds have
been the catalysts for global warming alongside health deterioration among humans (Guar ,
2018).
These compounds present to be some of the most known volatile organic compounds
(VOC) causing gaseous pollution, especially in the developing countries. Importantly, it has been
realized that out of 33 hazardous air pollutants, the majority (21) is realized from the motor
vehicles which emits much CO2 and sulphur compounds. According to Guar (2018), VOC
pollutants can be naturally occurring such as those that are emitted from the vegetation such as
the isoprene, a- and b-pinene and methanol. Besides, studies have estimated the global VOC flux
to consist of 44% isoprene, 22.5% reactive hydrocarbons 11% monoterpenes and another 22.5%
other non-reactive hydrocarbons.
While natural VOC discharge from vegetation has been considered to have a high impact
on human health and the climate, the anthropogenic source has not been left out through its
adverse effect on human health and the environment. In this case, anthropogenic sources of VOC
pollution include emission from vehicles, bio-decomposition of wastes, exhaust and fuel
evaporation, industrial processes, oil refining, and solvent usage. It is in cognition that these
pollutants have affected human health largely in urban areas where they are highly concentrated.
Despite measures put forth by the environmental regulatory authorities, less has been achieved as
the menace of industrial growth have increased the use of heavy machines and extraction of
minerals leading to the production of harmful organic compounds.
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While workers at Sun Coast can be said to have high potential exposure to these toxic
substances, noise pollution is also presented as other health deteriorating factor affecting the
company’s employees. It is obvious that exposure to loud noise affects hearing and impair the
functioning of the ear. This evidence if presented by Aliabadia (2015) when they observed that
noisy workrooms, duration of exposure to noise environment and the level of the noise produced
as well as prolonged use of hearing protection devices are larger contributing factors to
malfunction of the ear. Their findings were interestingly significant to this study of concern as
their results showed a significant relationship between smoking, job type and use of ear
protection devices with the loss of hearing among individual workers in noisy environments.
Firdaus & Ahmad (2010) illustrated that the tremendous population increase, as well as the rise
of industrial activities, unchecked rise in the number of vehicles and the rapid lifestyle changes,
are the major contributing factors to increased noise pollution in urban areas. Ghuncha & Ahmad
further illustrated that the resultant effect has been a disturbance, annoyance, communication
interference as well as adverse effects on human health. In their study, Ghuncha & Ahmad also
established an existing relationship between the intensity of the noise pollution and the
occurrence of fatal diseases among individuals exposed to the menace.
While this study also focused on the impact of lead exposure on sun coast employees, studies
have been done showing a significant relationship between lead exposure and its impact on
human health. For instance, Assi (2016) considered lead metal to be the most hazardous
chemical that has caused environmental pollution as well as having an adverse effect on human
biological systems. The chemical largely impacts human and the environment through its
exposure to the air, food sources and water bodies. Mohammed further expounded that the
toxicity nature of the chemical is largely experienced in the endocrine and kidney systems of
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individuals that causing life fatalities. Their evidence was also echoed by D’souza (2007) when
he observed that the potential health hazards of lead poisoning still exist and are rising due to the
lack of education regarding the dangers of working with lead.
As employees become vulnerable to these toxic PM and other pollutants, the effects of
training still remain an important factor of consideration when remedying the health outcome of
workers. Ricci (2016) while studying the effectiveness of occupational health and safety training
found that training offered to workers are important in assuring their occupational health
outcome as well as imparting positive belief and attitude while undertaking their work. In
addition, Ricci also illustrated that training becomes a medium for imparting knowledge among
employees on issues concerning their occupational health as well as their behavior around work
environment.
Through this literature, it is evident that the menace of pollution at work environment
have impacted most employees globally and thus the need to determine appropriate remedies of
minimizing the impacts. Consequently, noise pollution and pollution from particulate matters
have been realized to harm not only the environment but also employees exposed to these
pollutants. This is the case at sun coast organization that called for adequate analysis and
synthesis of information related to the health and safety of workers as a means of determining
health and safety related issues within the organization.
Research Objectives
Within our organization of Sun Coast, we have identified some areas of concern that may
be solved or addressed with solutions to improve. Those problems identified are exposure to
particulate matter, effectiveness of safety training, excess exposure to sound levels, training for
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new employees, excess lead exposure, and return on investment. Objective of research studies
are to see if Sun Coast is giving the proper protection to its employees according to OSHA
guidance or are we exceeding it. If we are not meeting standards what do we need to do in order
to get to minimum requirements or higher.
RO1: Determine relationship between Particulate Matter (PM) size and employee health
RO2: Determine if training has been successful in reducing time lost hours
RO3: Determine decibels (dB) levels of different work environments for proper hearing
protection
RO4: Determine if revised training plan is more effective
RO5: Determine if current lead levels change in blood post exposure
RO6: Determine if return of investment (ROI) for services is same for each line
Research Questions and Hypotheses
RO1: Determine relationship between Particulate Matter (PM) size and employee health
H01: There is no significant difference between PM and employee health
HA1: There is a significant difference between PM and employee health
RO2: Determine if training has been successful in reducing time lost hours
H02: There is no significant relationship between training and time-lost hours
HA2: There is a significant relationship between training and time-lost hours
RO3: Determine decibels (dB) levels of different work environments for proper hearing
protection
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H03: There is no significant difference between work environments in dB’s
HA3: There is a significant difference between work environments in dB’s
RO4: Determine if revised training plan is more effective
H04: There is no significant relationship between revised training and employee effectiveness
HA4: There is a significant relationship between revised training and employee effectiveness
RO5: Determine if current lead levels change in blood post exposure
H05: There is no significant difference between lead levels in blood post exposure
HA5: There is a significant difference between lead levels in blood post exposure
RO6: Determine if return of investment (ROI) for services is same for each line
H06: There is no statistically significant difference on ROI for each service provided
HA6: There is a statistically significant difference on ROI for each service provided RO1:
Research Methodology, Design, and Methods
Sun Coast provides remediation services to business and governmental organizations.
Most of our contracts involve working within contamination sites where we remove toxic
substances from soil and water. In addition to the toxicity of the air, water, and soil. Sun Coast
genuinely cares about the health, safety, and well-being of their 5,500 employees, but they are also
concerned about worker compensation costs and potential long-term litigation from injuries and
illness related to employment. Sun Coast has since done some historical research and we have
adopted a regression analysis.
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Research Methodology
Statistically, research methodology is a process used by statisticians to collect information
and valid data with the aim of coming up with a business decision (Kumar, 2019). Statisticians
tend to base their research methodology on the distinction between qualitative and quantitative
data. The difference between qualitative and quantitative data is that qualitative data assumes the
form of descriptions which is based on languages and images while quantitative data assumes the
kind of numbers. In every research paper, it is the research methodology section that enables the
reader to evaluate the study’s validity and reliability critically. Therefore, for the case of this study,
I have adopted a quantitative analysis methodology since the information given is justified by data
or numerical analysis.
Research Design
According to the adopted research questions, it is evident that we used a historical research
design since almost all data used was retrieved from archives (Quinlan, 2019). The research
questions justify the causality of the study; this is because we have tried to explain the impact of a
specific change over the existing norm. For example, in research question one, the research is out
to identify the effects of particulate matter and the employee’s health.
Research methods
Based on the causality of the research questions, the research will specifically adopt a
regression analysis as the most convenient and appropriate research method. This is because it
only through the regression analysis will we understand the relationship between the dependent
variable and the independent variables within the model. In the six statements of the problems
identified, I will be able to use a regression analysis determine the relationship of the degree of
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significance at which each problem identified will impact the working condition and or the health
of employees hence posing a threat to the business aim which is always to maximize the output.
Data collection methods
In a total solution to the six identified statement of the problems, we used secondary data
which means that we used the second-hand data, the data was majorly retrieved from the archives
of the company. It is through the recorded historical information of the company that we used to
identify the statement of the problem that arose hence the study to find their solutions.
Sampling design
In this research, the sampling design used is the unrestricted sample design. This is because
each sample element that was used was drawn individually from the population at large, that is,
the all the employee’s records were sampled for the sake of identifying the statement of the
problem. I saw it wise to apply this same sampling design to all states of the question since they
tend to relate to each other and follow a similar pattern.
Data Analysis Procedure
Through the use of Excel-Tool Pak as a statistical tool of data analysis, it is convenient for
us to conduct a regression analysis to identify the relationship between the employees as the
dependent variables and the variables within the model (Pini & Vantini, 2016). Performing a
regression analysis is more convenient because it gives convincing conclusions. It also provides
room to give policy which might help the business in the future as well it is easy to undertake.
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Data Analysis: Descriptive Statistics and Assumption Testing
Correlation: Descriptive Statistics and Assumption Testing
Frequency distribution table
Frequency
- Mean
Frequency- annual sick
Class
More
Microns
days
2
15
1
4
17
6
6
22
31
8
33
42
10
16
19
12
0
4
0
0
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Histogram
Frequency
Histogram
40
30
20
10
0
Frequency
Mcrons
Frequency
Histogram
50
40
30
20
10
0
Frequency
Mean annual sick days per employee
Descriptive statistics table
mean annual
sick days per
microns
employee
Mean
5.66
7.13
Standard Error
0.26
0.19
Median
6
7
Mode
8
7
Standard Deviation
2.59
1.89
Sample Variance
6.73
3.58
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Kurtosis
(0.85)
0.12
Skewness
(0.37)
0.14
Range
9.8
10
Minimum
0.2
2
Maximum
10
12
582.7
734
103
103
Sum
Count
Measurement scale
The two variables are quantitative in nature and assume a ratio level of measurement.
Measure of central tendency
The measures of center include the mean, median, and the mode. The mean indicates the
center of the data by revealing the most typical value in a group of data. The mean microns is
5.66 while the average mean annual sick days per employee is 7.13 days. The median indicates
the center by revealing the middle most value in a group of data arranged in ascending order. The
median microns is 6 while the median mean annual sick days per employee is 7. The mode
shows the most frequent value. The modal microns is 8 while the modal mean annual sick days
per employee is 7.
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for microns is 2.59 while the standard deviation for the mean annual sick days per
employee is 1.89. The variance indicates the mean square deviations of the data points from the
mean. The variance for microns is 6.73 while the variance for the mean annual sick days per
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employee is 3.58 days. The coefficient of skewness reveals the shape of the distribution of the
data relative to the normal curve. The skewness for microns is -0.37 implying that the data points
are negatively skewed while the skewness for mean annual sick days is 0.14 implying that the
data points are slightly positively skewed.
The histogram for the two variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
variables assume ratio scales of measurement. Assumptions for parametric statistical testing are
met (Mooi, Sarstedt, & Mooi-Reci, 2018).
Simple Regression: Descriptive Statistics and Assumption Testing
Frequency distribution table
Bin range
Frequency
More
40
5
80
15
120
27
160
32
200
51
240
44
280
28
320
15
360
6
0
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Histogram
60
40
20
Frequency
More
360
320
280
240
200
160
120
80
0
40
Frequency
Histogram
Lost time hours
Descriptive statistics table
safety training expenditure
lost time hours
Mean
595.98
188.00
Standard Error
31.48
4.80
Median
Mode
507.772
190
234
190
Standard Deviation
470.05
71.73
Sample Variance
220,948.85
5,144.54
Kurtosis
0.44
(0.50)
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Skewness
21
0.95
Range
(0.08)
2251.404
350
Minimum
20.456
10
Maximum
2271.86
360
132904.517
41925
223
223
Sum
Count
Measurement scale
The values for the two variables have an origin i.e. zero and as such assume a ratio scale
of measurement.
Measure of central tendency
The measures of center include the mean, median, and the mode. The mean indicates the
center of the data by revealing the most typical value in a group of data. The mean safety training
expenditure is $595.98 while the mean lost time hours is 188 hours. The median indicates the
center by revealing the middle most value in a group of data arranged in ascending order. The
median safety training expenditure is 507.77 while the median lost time hours is 190. The mode
shows the most frequent value. The modal safety training expenditure is 234 while the lost time
hours is 190.
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for safety training expenditure is 470.05 while the standard deviation for the lost time
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hours is 71.73. The variance indicates the mean square deviations of the data points from the
mean. The variance for safety training expenditure is 220,948.85 while the variance for the lost
time hours is 5,144.54 hours. The coefficient of skewness reveals the shape of the distribution of
the data relative to the normal curve. The skewness for safety training expenditure is 0.95
implying that the data points are positively skewed while the skewness for lost time hours is 0.08 implying that the data points are slightly negatively skewed.
The histogram for the dependent variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
variables assume ratio scales of measurement. Assumptions for parametric statistical testing are
met.
Multiple Regression: Descriptive Statistics and Assumption Testing
Frequency distribution table
Bin range
Frequency
105
4
110
32
115
108
120
216
125
332
130
436
135
304
140
69
145
2
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More
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0
Histogram
Frequency
Histogram
600
400
200
Frequency
0
Decibel
Descriptive statistics table
Frequency
Angle in
Chord
Velocity (Meters
Displace
Decib
(Hz)
Degrees
Length
per Second)
ment
el
0.011139
124.8
88
359
0.000339
0.177
199
945
0.004957
125.7
41
21
0.005295
127.3
14
15
0.013150
6.898
234
657
2886.3805 6.78230206 0.116140
Mean
Standard
Error
Median
Mode
Standard
Deviation
72
3
053
50.86074518
81.317811 0.15265283 0.001256
19
1600
2000
5
5.4
0
368
0.1176
0.0917
0.401686079
39.6
39.6
3152.5731 5.91812812 0.048707
37
5
555
15.5727844
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Sample
24
9938717.3
Variance
0.002372
84 35.0242405
426
-
-
242.5116138
77
3
484
47.59
929
146
-
5.7086850 0.41295079 1.178196
Kurtosis
0.000172
-1.563951274
2.218903
0.314
124
19
-
-
2.1370843 0.68916440 0.027537
Skewness
37
Range
19800
Minimum
200
Maximum
20000
2
22.2
0
22.2
436
0.1697
0.03
0.1997
0.235852414
39.6
31.7
71.3
1.702164
0.418
556
95
0.058010
37.60
618
7
0.000400
103.3
682
8
0.058411
140.9
3
87
16.74324 18762
Sum
4338230
Count
1503
10193.8 174.5585
1503
1503
76443.7
023
8.4
1503
1503
1503
Measurement scale
All the variables; Frequency (Hz), Angle in Degrees, Chord Length, Velocity (Meters per
Second), displacement, and decibel are quantitative in nature and assume a ratio scale of
measurement.
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Measure of central tendency
The mean indicates the center of the data by revealing the most typical value in a group
of data (Mendenhall, Sincich, & Boudreau, 2016). The mean for Frequency (Hz), Angle in
Degrees, Chord Length, Velocity (Meters per Second), displacement, and decibel is 2886.38,
6.78, 0.116, 50.86, 0.11, and 124.85, respectively. The median indicates the center by revealing
the middle most value in a group of data arranged in ascending order. The median for Frequency
(Hz), Angle in Degrees, Chord Length, Velocity (Meters per Second), displacement, and decibel
is 1600, 5.4, 0.1176, 39.6, 0.00496, and 125.72, respectively. The mode shows the most frequent
value in a group of data. The median for Frequency (Hz), Angle in Degrees, Chord Length,
Velocity (Meters per Second), displacement, and decibel is 2000, 0, 0.0917, 39.6, 0.0053, and
127.32, respectively.
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for Frequency (Hz), Angle in Degrees, Chord Length, Velocity (Meters per Second),
displacement, and decibel is 3152.57, 5.91, 0.049, 15.57, 0.013, and 6.899, respectively. The
variance indicates the mean square deviations of the data points from the mean. The coefficient
of skewness reveals the shape of the distribution of the data relative to the normal curve. The
skewness for Frequency (Hz), Angle in Degrees, Chord Length, Velocity (Meters per Second),
displacement, and decibel is 2.14, 0.69, 0.028, -0.28, 1.70, and 0.419, respectively.
The histogram for the dependent variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
variables assume ratio scales of measurement. Assumptions for parametric statistical testing are
met.
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Independent Samples t Test: Descriptive Statistics and Assumption Testing
Frequency distribution table
Bin range
Frequency
78
7
81
10
84
12
87
14
90
11
93
5
96
2
99
1
More
0
Histogram
15
10
5
Frequency
Bin range
More
99
96
93
90
87
84
81
0
78
Frequency
Histogram
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27
Descriptive statistics table
Group A Prior Training
Group B Revised Training
Scores
Scores
Mean
69.79032258
84.77419355
Standard Error
1.402788093
0.659478888
Median
70
85
Mode
80
85
11.04556449
5.192741955
122.004495
26.96456901
Kurtosis
-0.77667598
-0.352537913
Skewness
-0.086798138
0.144084526
Range
41
22
Minimum
50
75
Maximum
91
97
4327
5256
62
62
Standard
Deviation
Sample Variance
Sum
Count
Measurement scale
SUN COAST REMEDIATION
28
The values for the two variables are quantitative in nature and have a point of origin i.e.
zero. As such, they assume a ratio scale of measurement.
Measure of central tendency
The measures of center include the mean, median, and the mode. The mean indicates the
center of the data by revealing the most typical value in a group of data. The mean Group A
Prior Training Scores is 69.790 while the average Group B Revised Training Scores is 84.77.
The median indicates the center by revealing the middle most value in a group of data arranged
in ascending order. The median Group A Prior Training Scores is 70 while the median Group B
Revised Training Scores is 85. The mode shows the most frequent value. The modal Group A
Prior Training Scores is 80 while the Group B Revised Training Scores is 85.
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for Group A Prior Training Scores is 11.04 while the standard deviation for the Group
B Revised Training Scores is 5.19. The variance indicates the mean square deviations of the data
points from the mean. The variance for Group A Prior Training Scores is 122 while the variance
for Group B Revised Training Scores is 26.96. The coefficient of skewness reveals the shape of
the distribution of the data relative to the normal curve. The skewness for Group A Prior
Training Scores is -0.09 implying that the data points are slightly negatively skewed while the
skewness for Group B Revised Training Scores is 0.144 implying that the data points are slightly
positively skewed.
The histogram for the dependent variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
SUN COAST REMEDIATION
29
variables assume ratio scales of measurement. Assumptions for parametric statistical testing are
met.
Dependent Samples (Paired-Samples) t Test: Descriptive Statistics and Assumption Testing
Frequency distribution table
Bin range
More
Frequency
10
3
20
6
30
9
40
13
50
17
60
1
0
Histogram
Frequency
Histogram
20
15
10
5
0
Frequency
Bin range
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30
Descriptive statistics table
Pre-Exposure
Post-Exposure
μg/dL
μg/dL
Mean
32.85714286
33.28571429
Standard Error
1.752306546
1.781423416
Median
35
36
Mode
36
38
Deviation
12.26614582
12.46996391
Sample Variance
150.4583333
155.5
Kurtosis
-0.576037127
-0.654212507
Skewness
-0.425109654
-0.483629097
50
50
Minimum
6
6
Maximum
56
56
1610
1631
49
49
Standard
Range
Sum
Count
Measurement scale
The values for the two variables are quantitative in nature and have a point of origin i.e.
zero. As such, they assume a ratio scale of measurement.
SUN COAST REMEDIATION
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Measure of central tendency
The measures of center include the mean, median, and the mode. The mean indicates the
center of the data by revealing the most typical value in a group of data. The mean Pre-Exposure
μg/dL is 32.857 while the average Post-Exposure μg/dL is 33.286. The median indicates the
center by revealing the middle most value in a group of data arranged in ascending order. The
median Pre-Exposure μg/dL is 35 while the median Post-Exposure μg/dL is 36. The mode shows
the most frequent value. The modal Pre-Exposure μg/dL is 36 while the Post-Exposure μg/dL is
38.
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for Pre-Exposure μg/dL is 12.266 while the standard deviation for the Post-Exposure
μg/dL is 12.47. The variance indicates the mean square deviations of the data points from the
mean. The variance for Pre-Exposure μg/dL is 150.458 while the variance for Post-Exposure
μg/dL is 155.5. The coefficient of skewness reveals the shape of the distribution of the data
relative to the normal curve. The skewness for Pre-Exposure μg/dL is -0.425 implying that the
data points are negatively skewed while the skewness for Post-Exposure μg/dL is 0.144 implying
that the data points are negatively skewed.
The histogram for the dependent variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
variables assume ratio scales of measurement. Assumptions for parametric statistical testing are
met.
SUN COAST REMEDIATION
32
ANOVA: Descriptive Statistics and Assumption Testing
Frequency distribution table
Bin range
Frequency
3
1
4
3
5
7
6
6
7
2
8
1
More
0
Histogram
Histogram
Frequency
8
6
4
2
Frequency
0
3
4
5
6
7
8 More
Bin range
Descriptive statistics table
A = Air
B = Soil
C=
D=
Water
Training
SUN COAST REMEDIATION
Mean
33
8.9
9.1
7
5.4
Standard
Error
0.68
Median
Mode
0.39
0.58
0.27
9
9
6
5
11
8
6
5
Standard
Deviation
3.06
1.74
2.58
1.19
Variance
9.36
3.04
6.63
1.41
Kurtosis
(0.63)
0.12
(0.24)
0.25
Skewness
(0.36)
0.49
0.76
0.16
Sample
Range
11
7
9
5
Minimum
3
6
3
3
Maximum
14
13
12
8
178
182
140
108
20
20
20
20
Sum
Count
Measurement scale
The data variables assume are quantitative in nature and assume a ratio scale of
measurement.
SUN COAST REMEDIATION
34
Measure of central tendency
The measures of center include the mean, median, and the mode. The mean indicates the
center of the data by revealing the most typical value in a group of data. The mean ROI in air is
8.9%, in soil is 9.1%, in water is 7% and in training is 5.4%. The median indicates the center by
revealing the middle most value in a group of data arranged in ascending order. The median ROI
is Air, Soil, Water and training is 9%, 9%, 6%, and 5%, respectively. The mode shows the most
frequent value. The mode for ROI is Air, Soil, Water and training is 11%, 8%, 6%, and 5%,
respectively
Evaluation
The standard deviation shows the dispersion of data from the mean. The standard
deviation for ROI is Air, Soil, Water and training is 3.06%, 1.74%, 2.58%, and 1.19%,
respectively. The variance indicates the mean square deviations of the data points from the mean.
The variance for ROI is Air, Soil, Water and training is 9.36%, 3.04%, 6.63%, and 1.41%,
respectively. The coefficient of skewness reveals the shape of the distribution of the data relative
to the normal curve. The skewness for ROI is Air, Soil, Water and training is -0.36%, 0.49%,
0.76%, and 0.16%, respectively. As such, the ROI for Air is negatively skewed, while the ROI
for soil, water, and training is positively skewed.
The histogram for the dependent variable appears to approximately assume a normal
distribution. Additionally, the frequency table indicates no presence of outliers. Lastly, the
variables assume ratio scales of measurement. As such, assumptions for parametric statistical
testing are met.
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35
Data Analysis: Hypothesis Testing
Correlation: Hypothesis Testing
Restate the hypotheses:
Ho1: There is no statistically significant relationship between microns and mean annual sick days
per employee.
Ha1: There is a statistically significant relationship between microns and mean annual sick days
per employee.
Excel output
SUMMARY OUTPUT
mean
annual sick
days per
microns
microns
employee
1
mean
annual sick
days per
employee
0.715984185
1
Regression Statistics
Multiple R
0.715984185
R Square
0.512633354
Adjusted R Square
0.507807941
SUN COAST REMEDIATION
Standard Error
36
1.327783455
Observations
103
ANOVA
Significance
df
Regression
SS
MS
1 187.2953239
187.2953
Residual
101 178.0638994
1.763009
Total
102 365.3592233
F
F
106.2362 1.89059E-17
Standard
Coefficients
Intercept
Error
10.08144483 0.315156969
Upper
t Stat
P-value
31.98865
0.522376554 0.050681267
95%
0.000 9.456258184 10.70663
microns
Lower 95%
-10.3071
1.89E-17 0.622914554
-0.42184
Notably, the Pearson correlation coefficient f r = -0.71598 indicating a strong positive
correlation between microns and mean annual sick days per employee. This results in an r2 of
0.5126 explaining 51.26% of the variations between the two variables.
Deploying a significance level of 0.05, the results show a p-value of 0.000 0.05 indicating that the
coefficient is not statistically significant.
The regression model is given by;
Y =126.82 -240.506*(Displacement)+0.083*(Velocity)-5.495*(Chord length)+0.0473*(Angle
degrees)-0.0011*Frequency
Hypothesis testing looks for significant relationships between variables or significant
differences between variables or groups. The t-Test is used to compare two means and is the
SUN COAST REMEDIATION
41
simplest form of a test of differences. While, ANOVA is used to compare more than two means.
Below are some samples of both t-test and ANOVA hypothesis testing.
Independent Samples t-Test: Hypothesis Testing
H0: There is no statistically significant difference in the mean values for the training scores
between Group A (Prior) and Group B (Revised).
Ha: There is a statistically significant difference in the mean values for the training scores
between Group A (Prior) and Group B (Revised).
Excel output
t-Test: Two-Sample Assuming Unequal Variances
Mean
Variance
Observations
Hypothesized Mean Difference
Df
t Stat
Group A
Group B
Prior
Revised
Training
Training
Scores
Scores
69.79032258 84.77419355
122.004495 26.96456901
62
0
87
9.666557191
P(T
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