1. Regression Analysis. 2. Hypothesis Testing. 3. Comparing Two Population Means. 4. Analysis of Variance. The sources to use are only from the sources/links shared. Use the three screenshot data sheets for the source of the project. Use the other source for instructions specified.Statistics Project – Weightlifting Data
PROJECT RUBRIC
This paper examines the results of a recent olympics where individuals competed in the Weightlifting events.
The information was kept on only those individuals that completed the event. This project provides an overall
evaluation of students’ understanding of:
● applying statistical techniques learned in this class
● explaining statistical techniques learned in class
● proficiency in using the required MAT 167 software StatCrunch.
The paper length is not important, however in the past most good papers were in the 15 – 20 page range
(plus or minus a couple of pages), poor papers were around 5 – 10 pages in length. Remember there are
several graphs and several StatCrunch outputs that have to be inserted into this paper. This document is
provided to you through Google Docs. You can use Microsoft’s Word, Apple’s Pages, or Google Docs to write
your paper, please attempt to keep as much of the formatting as possible. Regardless of the editing software,
I want you to export the file as a PDF so I can read it without having to purchase additional software.
This paper is not a worksheet, therefore none of the questions or directions should remain in your final output,
neither should the point values. You should consider this as a series of small reports broken down by this rubric,
this is not a continuous paper.
PAPER FORMAT
1. Should use this Template
2. Must contain a title page
3. Must use proper spelling and grammar
4. Must be double spaced
5. Must be saved as a PDF file (contact me if you are unable)
6. Do NOT use a Reference Page (we are only using our data and the Textbook)
7. Do NOT use an Abstract
OVERVIEW
Data Collection
Discuss what the sample is and how it was obtained and the population the sample
represents.
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Statistics Project – Weightlifting Data
Variables | (Use Heading 2)
Using 2 columns identify all of the variables collected as either Numerical or Categorical.
Categorical Numerical
INFERENTIAL STATISTICS
I. Regression Analysis
A. Compare Body Weight to Clean and Jerk results and analyze any correlation.
1. State what you believe should be true – a hypothesis
2. How you are using the data to make your decision:
a. Show the StatCrunch scatterplot with a linear regression going through
the data points (Options → Download; Save the png file with a graph
name).
b. Describe the graph and explain what that means
c. Copy and paste the StatCrunch output, then explain what the output
means (Once you paste the output into your document, you can edit it
(reduce all decimals to 3 place values, and do not use anything that you
cannot or will not explain).
{example: Snatch Results = 87.387 + 0.774 Bodyweight}
i. What is the slope and explain what that means
ii. What is the y-intercept and explain what that means
iii. What is the correlation coefficient and explain what
that means
iv. What is the coefficient of determination and explain
what that means
3. Summarize your findings and state how it applies to the actual population.
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Statistics Project – Weightlifting Data
II. Hypothesis Testing
I show the mean weight of an elite weightlifter can Clean and Jerk is 360 pounds (163
kilograms), should an Olypmian be able to do more or less than an elite weightlifter?
1. Create a Frequency table and a Histogram to (Options → Download; Save the png file with a graph
name):
a. Help you identify the numbers for the Clean and Jerk
b. Explain the HIstogram
i. Describe center, symmetry, spread and any possible outliers
2. For the above statement form your own hypothesis.
a. State your Null Hypothesis Ho using both words and symbols
b. State your Alternative Hypothesis Ha using both words and symbols
3. Do a Hypothesis Test.
a. Use a level of significance α = 0.05
b. Copy and paste the StatCrunch output, then explain what the output means (Once you paste
the output into your document, you can edit it (reduce all decimals to 3 place values, and do
not use anything that you cannot or will not explain).
4. Summarize your findings and state how it applies to the actual population.
III. Comparing Two Population Means
A. Compare the 2 means of Snatch vs Clean and Jerk using 2 different tests:
1.) a hypothesis test and 2.) a confidence interval.
1. Create a Frequency table and a Histogram to (Options → Download both graphs; Save the png file
with a graph name):
a. Help you identify the numbers for the Snatch and the Clean and Jerk
b. Explain the HIstograms
i. Describe center, symmetry, spread and any possible outliers
2. For the above statement form your own hypothesis. (Since StatCrunch uses the terms Population 1 and
Populations 2, You need to define which is population 1 and which is population 2).
a. State your Null Hypothesis Ho using both words and symbols
b. State your Alternative Hypothesis Ha using both words and symbols
3. Using a hypothesis test and a significance level, α = 0.02,
a. Copy and paste your StatCrunch output, (Once you paste the output into your document, you
can edit it (reduce all decimals to 3 place values, and do not use anything that you cannot or
will not explain).
b. Explain what the StatCrunch output means
c. Summarize your findings and state how it applies to the actual population.
4. Using a 98% Confidence Interval
a. Copy and paste your StatCrunch output, (Once you paste the output into your document, you
can edit it (reduce all decimals to 3 place values, and do not use anything that you cannot or
will not explain).
3
Statistics Project – Weightlifting Data
b. Explain what the StatCrunch output means
c. Summarize your findings and state how it applies to the actual population.
5. How are you using the data to make your decision:
a. Using a 95% confidence interval, copy and paste the StatCrunch output, you can edit that
output, so do not use anything that you cannot or will not explain.
b. Explain what the StatCrunch output means
c. Summarize your findings and state how it applies to the actual population.
V. Analysis of Variance
A. Create an ANOVA comparing varying total means within each weight class
1. StatCrunch has recently been updated so you no longer have to split the data.
This is a great update, and smooths out the process
2. Create Multiple box-and-whisker plots to see the spread of each total by
weight class (Options → Download both graphs; Save the png file with a
graph name):
a. Explain the Box-and-Whisker plots
i. Describe center, symmetry, spread and any possible outliers
3. Using an ANOVA test and a 95% confidence interval within the Tukey HSD,
determine if there is any variation in the variation between weight classes.
a. Describe what you see in the Tukey HSD output, (reduce any decimals
to 3 place values, and do not use anything that you cannot or will not
explain).
b. Summarize your findings and state how it applies to the actual
population.
4
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