Graded Discussion: Solve Normal Distribution Application

For this graded discussion, you will be given a scenario to analyze using a cumulative from the mean z-table.
Requirements:

A minimum of two posts is required.
You must give a detailed solution for each part in your first post to get full credit.
It is not enough to just give the final answer. You must show steps or explain your reasoning.
If it is easier, you can write your solution out on paper, take a picture, and upload it to the discussion as a PDF file. The PDF file type is the only file type that will be accepted.
You will be able to see other students' posts once you post your own solution.
Review their responses to determine if they agree with your own.
For your second post, reply to a classmate to indicate if your answers are the same or different from theirs.
If they are different, explain which post you think is correct, yours or theirs.
If your original post was incorrect, reply to yourself with a correction. Don't worry! You will not lose points for an incorrect answer, as long as you make a reasonable effort at the first post and post a reply with the correct answer.
Complete required posts by the posted deadline.

Part 1: Prepare
Familiarize yourself with the following data.
In 1955, scientists R.R. Sokal and P.E. Hunter analyzed the affects of pesticides on houseflies. Among the data sets they collected were samples of housefly wing lengths. These are normally distributed. The data they collected is summarized in the following frequency distribution.

Normally Distributed

*Source: Sokal, R.R. and F.J. Rohlf, 1968. Biometry, Freeman Publishing Co., p 109. Original data from Sokal, R.R. and P.E. Hunter. 1955. A morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc. Amer. 48: 499-507.
Part 2: First Post*

Answer these questions:

Find the mean and standard deviation of the sample of housefly wing lengths. (2 points)
List the data values that are within 2 standard deviations of the mean. Justify your answer. (2 points)
What percentage of the data values are within 2 standard deviations of the mean? (2 points)
Is this consistent with the Empirical Rule? Explain. (2 points)

Part 3: Second Post
For your second post, reply to a classmate to indicate if your answers are the same or different from theirs. If they are different, explain which post you think is correct, yours or theirs. (2 points)
If your original post was incorrect, reply to yourself with a correction. Don't worry! You will not lose points for an incorrect answer as long as you make a reasonable effort at the first post and post a reply with the correct answer.

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Graded Discussion: The Monty Hall Problem
Requirements:
A minimum of two posts is required.
You must give a detailed explanation for each part in your first post to get full credit. Use complete sentences, correct punctuation, and correct grammar.
You will be able to see other students' posts once you post your own solution. Review their responses to determine if they agree with your own.
For your second post, reply to a classmate's post.
Complete required posts by the posted deadline.

Part 1: Prepare
Read this scenario:
You're on the game show "Let's Make A Deal" looking at 3 doors. Behind one is a brand-new car. Behind the others are goats! You get to choose one door: if it's the car, you win! You choose Door #1. But before he unveils its contents, Monty opens Door #2 and reveals a goat. You may have picked the right door! Monty asks if you'd like to make a deal. If you want, you can switch to Door #3. What would switching do: improve your odds, worsen your odds, or leave them the same? Answer this question on a piece of paper BEFORE viewing the following video.
Watch the video:
https://youtu.be/2Kgud9QcZs4
Read the explanation:

When you choose Door #1, your odds of winning are clearly 1/3. Therefore, the odds that the prize is behind Door #2 or Door #3 is 2/3. When Monty reveals that there is nothing behind Door #2, it doesn't change the original probabilities. There is still a 2/3 chance that the prize is behind door two or three. (Knowing the contents of door two doesn't change the odds once you've started playing.) Therefore, door three now has a 2/3 odds of winning.
Part 2: First Post

Title Your Post: Students name Monty Hall Problem Post
Answer each question:
1) Before you watched the video, did you think you should stay or switch. (4 points)
2) After you watched the video, did you change you mind? Explain your reasoning. (4 points)
Part 3: Second and Third Posts
Second and Third Posts (2 points): Read and reply substantively to two classmates' posts.

Graded Discussion: Counting Shapes
Requirements:

A minimum of two posts is required.
You must give a detailed solution for each part in your first post to get full credit.
It is not enough to just give the final answer.
You must show steps or explain your reasoning.
If it is easier, you can write your solution out on paper, take a picture, and upload it to the discussion as a pdf file.
The pdf file type is the only file type that will be accepted.
You will be able to see other students' posts once you post your own solution. Review their responses to determine if they agree with your own.
For your second post, reply to your own post.
Don't worry! You will not lose points for an incorrect answer in your first post as long as you post a reply with the correct answer in your second post.
Complete required posts by the posted deadline.

Overview
For this graded discussion, you will try to find your own systematic approach to solving two counting puzzles. Then you will watch a video solution. You will post your answers to the questions in STEP 4 below. You will create and solve your own puzzle. You must complete all the steps to get full credit.

STEP 1: Puzzle 1: How many squares are in the diagram?
Find and use a systematic approach to counting the number of squares of any size in the diagram.

STEP 3: Watch the video to see the solutions.

As you watch the video, make a note of the approaches used to solve each puzzle.
https://youtu.be/mqtosKgHwCo

STEP 4: Create a Post with your answers to the following questions.
[2 points] Describe your approaches to solving the puzzles. Did you use the same approach to both?
[2 points] How would you explain the approach used in the video? How was it systematic?
[2 points] Compare and contrast your approach to the approach used in the video. Did you get the same answers?
(Don't worry! You will not lose points if you didn't get the puzzle right the first time you tried it.)
[2 points] Create (or find) a counting puzzle for your classmates to solve.

STEP 5: Solve a classmate's puzzle.

Once you have posted, you will be able to view your classmates posts. Find one of the puzzles they posted, reply to their post with a detailed solution. [2 points

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Graded Discussion: Misleading Graphs
Requirements:
A minimum of one post is required.
You must give a detailed solution to each question in your post to get full credit.
It is not enough to just give the final answer.
You must show steps or explain your reasoning.
If it is easier, you can write your solution out on paper, take a picture, and upload it to the discussion as a pdf file. The pdf file type is the only file type that will be accepted.
You will be able to see other students' posts once you post your own solution.
Review their responses to determine if they agree with your own.

You are not required to make a second post, but you can reply to your own post with corrections.   Don't worry!  You will not lose points for an incorrect answer in your first post as long as you make a reasonable effort on the first post and post a reply with the correct answer in your second post.  
Complete required posts by the posted deadline.

Part 1: Prepare

Read this article about the way graphs can be misleading. https://www.statisticshowto.com/probability-and-statistics/descriptive-statistics/misleading-graphs/

Source of data: https://www.bls.gov/careeroutlook/2020/data-on-display/education-pays.htm

[2 pts] What is the ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree?
[2 pts] What is the ratio of the area of the red rectangle to the area of the blue rectangle in graph A? (The scale on the horizontal axis is 1 unit per grid mark.)
[2 pts] What is the ratio of the area of the red square to the area of the blue square in graph B? (The scale on the horizontal axis is 1 unit per grid mark.)
[2 pts] What is the ratio of the volume of the red cube to the volume of the blue cube in graph C? (The scale on the horizontal axis is 1 unit per grid mark and the bases of the prisms are squares.)
[2 pts] Explain which graph is the most misleading and give a mathematical justification for your answer.

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Locate any report or periodical article that contains at least two different graphical representations of data or use one of the supplied articles. Interpret the graphs and present your findings in a brief PowerPoint presentation (6-10 slides).

PowerPoint Assignment Instructions Instruction

Complete the following: Article Identification. Use one of the articles listed under Article Options subheading below or find an article in Forbes or other business journal or an annual report from a publicly traded company that includes at least two data graphs or tables. The graphs should depict or represent data using pie charts, bar charts, tables, scatter plots, trend lines, et cetera. Read the article and identify the business context.
Business context includes organizational history, mission, product and services, environment, competitive advantage, competition, et cetera. You can also determine business context from additional sources (and you should). The company or organizational background information should help explain why the data are relevant. This will be the introductory information for your business report, presentation, or assessment. Interpret your chosen data representations in the context of the business situation. The following are typical questions an analyst would use to interpret the data: What is being measured (the variables)? What are the relationships among the variables? What are the trends in the data? How can the data be applied in the business context? Create an effective 6-10 slide PowerPoint deck with detailed presenter's notes (including citations and reference slides) elaborating on each point that will be presented at a departmental meeting.
For example: Organization/business context. Relevance/importance of information. Source of data set and any limitations? Graphic of data 1 - with interpretations of graph. Graph of data 2 - with interpretations of graph. Importance of data analysis in terms of business context. Summary. Reference slides. An effective PowerPoint presentation for this purpose typically includes: One title slide, APA formatted. 1-2 introduction slides explaining the business context.
Several slides. You should copy and paste (insert) the graphs or tables and include an appropriate citation. Each slide should include detailed speaker notes. Several slides. Include your interpretation of each graphical data representation. Conclusion slides in which you explain how the data may affect the business context or how it could be applied in your business context to inform decision making. Slide with at least four APA-formatted references, including the source of each graph.

PowerPoint Presentation Assignment.docx