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Introduction
This can be one or two paragraphs, does not need to be long.
Introduce your project. What was the subject of your study?
What were you trying
to learn? Why did you choose this topic?
Data Collection
Explain in some detail how you collected your data.
• How did you ensure random sampling?
• What variables are in your set of data?
• How much data did you collect? Include at least a portion of
the raw data (a page or
less).
• Say something about your overall experience of collecting the
data.
Descriptive Statistics
Display your data in several forms of charts. Summary statistics
can be shown in a
table or within a chart. This may take up a few pages of your
report.
• Show each chart and describe what it shows you about your
data.
• Be sure to use axis titles, legends, chart titles, or whatever is
needed to make your charts
easy to understand.
• Be sure to select charting tools that are appropriate for the
kind of data you have.
• Your charts should reflect the variables and categories within
your data. The charts should
serve as visualizations of the statistical analyses you will show
later.
Inferential Statistics
In this section you perform the test of hypothesis and create a
related confidence
interval.
• State the null and alternative hypotheses.
• Give the value of alpha (?) you selected as the risk of Type 1
error.
• Show the calculation of the test statistic.
• Give the conclusion rejecting or not rejecting the null
hypothesis. Along with this
conclusion you should state the p-value and alpha level.
• Explain the conclusion in terms of your project and data.
• Describe for your hypotheses what the Type 1 and Type 2
errors would be and the
consequences of each type of error.
• Create a confidence interval for the population parameter and
interpret the interval in
terms of the project.
Conclusion
This section is a short summary of your findings.
• What were the main conclusions your came to in your project?
• Aside from what the data showed, what else did you learn
about the field of statistics in
the course of planning and executing this project? Was it easy,
interesting, difficult? Say
anything else you want about your experience doing this
project.
Section 1
The following graph shows the fare rates for the Tortoise Taxi
Co. and the Crash-up Cab Co.
Question 1 (3 points)
What is the y-intercept of each line? What is the meaning of
these values?
Question 2 (4 points)
Determine the slope of each line(include calculations). What is
the meaning of these values?
Question 3 (1 point)
A new species of bird is introduced into a sanctuary.
Conservationists monitor the population of the birds for many
years. The results are shown in the following graph.
Over what time period is the rate of change of population
positive?
At what time is the population increasing fastest? Estimate the
rate of change at this time(Include calculations).
When is the rate of change zero? What is the significance of
this time in the context of the problem?
A manufacturer is testing the performance of insulating mugs in
cold weather. They pour hot water into each mug and record the
temperature over a period of time. The results are shown in the
table below.
Question 6 (1 point)
Without creating a graph, how can you determine if the data is
linear?
Question 7 (2 points)
After performing a regression analysis, the following was
found:
Mug A: y = 75(0.9)x
Mug B: y = 75(0.86)x
Use the equations above to predict the temperature of the water
in each mug after 20 minutes(Show your work).
Question 8 (2 points)
The researchers test a third mug, and determine the following
regression equation for its cooling data: y = 75(0.93)x
By comparing the regression equations, how well does the third
mug insulate compared to mugs A and B?
Section 6 Include complete steps of calculations
Simplify each expression, then evaluate.
Question 14 (2 points)
Is more expensive bottled water really preferable to less
expensive waters (or city
tap water)? Conduct a blind taste test to see whether people can
distinguish
between 2 (or 3) cups of water successfully.
Do students who are regularly involved in community service
have higher GPAs
than those who are not involved in community service? Decide
in advance what
“regularly involved” means, or collect the information in
average hours per week
so that you can categorize it data or use it as quantitative data.
Which of two or three possible route to school is the fastest for
you? Drive each
route at least 5 times, randomly assigning routes to days. Time
each trip from the
time you leave one parking place until the time you arrive in the
other. The
results should depend primarily on distance and obstacles
(school zones, traffic
lights, stop signs, traffic, etc) so do your best to drive the speed
limit so as not to
bias the results.
Do states with capital punishment have a lower homicide rate
than those states
without? This data should all be available online.
Are there any trends to be seen over time in number of
registered drivers and
number of motor vehicle accidents, fatalities and DUI arrests in
a city (or county
or state). You may find all of this online, possibly with gender
and age group.
Is there a relationship between temperature and rate of
homicides? Compile
data from the internet on the average high temperature by month
for one city
and the number of homicides per month for the same city for at
least a year to
see if there is a correlation between temperature and the number
of homicides.
Are items meant for men vs women priced differently? Compare
the prices of
men's and women's items of the same type, such as shaving
cream, deodorant, tshirts, sports socks, etc.
Go to a large bookstore that has a prominent display of best-
selling fiction
hardcover books. Record the price and number of pages for at
least 15 books. Use
the data to estimate a linear relationship between price and
number of pages
Do students or instructors spend more time working on school -
related tasks
outside of school? Ask a random sample of students the
following question:
"During the school year, how many hours a week do you spend,
on average, on
school-related work -- for example, reading books, attending
class, doing
homework, and writing papers?" Ask a random sample of
instructors similar
questions: "During the school year, how many hours a week do
you spend, on
average, on school-related work -- for example, preparing
lectures, teaching,
grading, advising, serving on committees?"
What percentage of students 18 or older are registered voters?
Do they plan to
vote in 2020? If they are not registered, why not?
What are the top three things students do that annoy instructors?
What are the
top three things instructors do that annoy students? (or instead,
ask the students
what they would guess are the top three things students do that
annoy
instructors.) Try to form overall categories ahead of time for
people to choose
from. You can test the percentages of what instructors say
against percentages of
what students say.
How does someone behave when a stranger invades their
personal space by
setting too close to on a public bench? How does the person
originally on the
bench react? Is there an age or gender difference in behavior?
Is there relationship between speeding tickets and gender (or vs
age? Find data
online about crimes vs gender, speeding tickets vs gender, etc.
Crime data has a
wealth of variables, so you may get other ideas from looking at
some of the
databases.

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IntroductionThis can be one or two paragraphs, does not need to

  • 1. Introduction This can be one or two paragraphs, does not need to be long. Introduce your project. What was the subject of your study? What were you trying to learn? Why did you choose this topic? Data Collection Explain in some detail how you collected your data. • How did you ensure random sampling? • What variables are in your set of data? • How much data did you collect? Include at least a portion of the raw data (a page or less). • Say something about your overall experience of collecting the data. Descriptive Statistics Display your data in several forms of charts. Summary statistics can be shown in a
  • 2. table or within a chart. This may take up a few pages of your report. • Show each chart and describe what it shows you about your data. • Be sure to use axis titles, legends, chart titles, or whatever is needed to make your charts easy to understand. • Be sure to select charting tools that are appropriate for the kind of data you have. • Your charts should reflect the variables and categories within your data. The charts should serve as visualizations of the statistical analyses you will show later. Inferential Statistics In this section you perform the test of hypothesis and create a related confidence interval. • State the null and alternative hypotheses. • Give the value of alpha (?) you selected as the risk of Type 1 error. • Show the calculation of the test statistic.
  • 3. • Give the conclusion rejecting or not rejecting the null hypothesis. Along with this conclusion you should state the p-value and alpha level. • Explain the conclusion in terms of your project and data. • Describe for your hypotheses what the Type 1 and Type 2 errors would be and the consequences of each type of error. • Create a confidence interval for the population parameter and interpret the interval in terms of the project. Conclusion This section is a short summary of your findings. • What were the main conclusions your came to in your project? • Aside from what the data showed, what else did you learn about the field of statistics in the course of planning and executing this project? Was it easy, interesting, difficult? Say anything else you want about your experience doing this project. Section 1 The following graph shows the fare rates for the Tortoise Taxi
  • 4. Co. and the Crash-up Cab Co. Question 1 (3 points) What is the y-intercept of each line? What is the meaning of these values? Question 2 (4 points) Determine the slope of each line(include calculations). What is the meaning of these values? Question 3 (1 point) A new species of bird is introduced into a sanctuary. Conservationists monitor the population of the birds for many years. The results are shown in the following graph. Over what time period is the rate of change of population positive? At what time is the population increasing fastest? Estimate the rate of change at this time(Include calculations). When is the rate of change zero? What is the significance of this time in the context of the problem? A manufacturer is testing the performance of insulating mugs in cold weather. They pour hot water into each mug and record the temperature over a period of time. The results are shown in the table below. Question 6 (1 point)
  • 5. Without creating a graph, how can you determine if the data is linear? Question 7 (2 points) After performing a regression analysis, the following was found: Mug A: y = 75(0.9)x Mug B: y = 75(0.86)x Use the equations above to predict the temperature of the water in each mug after 20 minutes(Show your work). Question 8 (2 points) The researchers test a third mug, and determine the following regression equation for its cooling data: y = 75(0.93)x By comparing the regression equations, how well does the third mug insulate compared to mugs A and B? Section 6 Include complete steps of calculations Simplify each expression, then evaluate. Question 14 (2 points) Is more expensive bottled water really preferable to less expensive waters (or city tap water)? Conduct a blind taste test to see whether people can distinguish between 2 (or 3) cups of water successfully.
  • 6. Do students who are regularly involved in community service have higher GPAs than those who are not involved in community service? Decide in advance what “regularly involved” means, or collect the information in average hours per week so that you can categorize it data or use it as quantitative data. Which of two or three possible route to school is the fastest for you? Drive each route at least 5 times, randomly assigning routes to days. Time each trip from the time you leave one parking place until the time you arrive in the other. The results should depend primarily on distance and obstacles (school zones, traffic lights, stop signs, traffic, etc) so do your best to drive the speed limit so as not to bias the results.
  • 7. Do states with capital punishment have a lower homicide rate than those states without? This data should all be available online. Are there any trends to be seen over time in number of registered drivers and number of motor vehicle accidents, fatalities and DUI arrests in a city (or county or state). You may find all of this online, possibly with gender and age group. Is there a relationship between temperature and rate of homicides? Compile data from the internet on the average high temperature by month for one city and the number of homicides per month for the same city for at least a year to see if there is a correlation between temperature and the number of homicides. Are items meant for men vs women priced differently? Compare the prices of
  • 8. men's and women's items of the same type, such as shaving cream, deodorant, tshirts, sports socks, etc. Go to a large bookstore that has a prominent display of best- selling fiction hardcover books. Record the price and number of pages for at least 15 books. Use the data to estimate a linear relationship between price and number of pages Do students or instructors spend more time working on school - related tasks outside of school? Ask a random sample of students the following question: "During the school year, how many hours a week do you spend, on average, on school-related work -- for example, reading books, attending class, doing homework, and writing papers?" Ask a random sample of instructors similar questions: "During the school year, how many hours a week do you spend, on
  • 9. average, on school-related work -- for example, preparing lectures, teaching, grading, advising, serving on committees?" What percentage of students 18 or older are registered voters? Do they plan to vote in 2020? If they are not registered, why not? What are the top three things students do that annoy instructors? What are the top three things instructors do that annoy students? (or instead, ask the students what they would guess are the top three things students do that annoy instructors.) Try to form overall categories ahead of time for people to choose from. You can test the percentages of what instructors say against percentages of what students say. How does someone behave when a stranger invades their personal space by
  • 10. setting too close to on a public bench? How does the person originally on the bench react? Is there an age or gender difference in behavior? Is there relationship between speeding tickets and gender (or vs age? Find data online about crimes vs gender, speeding tickets vs gender, etc. Crime data has a wealth of variables, so you may get other ideas from looking at some of the databases.