Grantham University Week 1 Introduction and Statistical Ethics Discussion

User Generated

Fxlpnz

Mathematics

Grantham University

Description

Your initial post should be 75-150 words in length


W1 Discussion Options Menu: Forum

Introduction and Statistical Ethics

Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers. If you have not done so lately, please review the Rules of Discussion.

Please respond to both questions.

Tell us about yourself so we can get to know you and so you can get to know others within the class. In your post, include what you believe to be your current knowledge level of this course topic and what you hope to learn before the course is over.

In the textbook, §1.8 discusses “Ethical Guidelines for Statistical Practice” and promotes the idea that we should strive to be ethical in all that we do.

  • Why is it important to use statistics ethically?
  • Give an example of unethical use of statistics and explain why it is unethical.
  • Could this unethical use of statistics be corrected so that the statistics are performed fair, thoroughly, and objectively? Why or why not?

View your discussion rubric.

Weekly Reading

eBook Banner

To access your eBook:

  • Select the link above
  • Select "My Home"
  • Select the eBook module for your text

Required textbook reading for this week:

  • Chapter 1, Sections 1.1-1.6 & 1.8
  • Chapter 2, Sections 2.1-2.5
  • Appendix 2.2
6363019
W2 Discussion Options Menu: Forum

Conditional Probability

Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers.

1. What is the textbook's definition of probability?

2. If there are 3 green marbles and 4 red marbles in a bag, and you were asked to draw one without looking, what is the probability of drawing one green marble?

3. If you don't put that marble back, what is the probability of drawing another green marble?

4. What is the textbook's definition of conditional probability?

5. Using the above "marbles in the bag" scenario, what is a conditional probability question that you can make from it?

In §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) denotes the probability of event A occurring given that we know event B has occurred.

Now consider the Monty Hall Problem introduced in the following video:

https://m.youtube.com/watch?v=4Lb-6rxZxx0

6. After watching this video, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch. Why is the probability of winning NOT 50/50 when the contestant is given the opportunity to switch?

View your discussion rubric.

Weekly Reading

eBook Banner

To access your eBook:

  • Select the link above
  • Select "My Home"
  • Select the eBook module for your text

Required textbook reading for this week:

  • Chapter 3, Sections 3.1-3.5
  • Appendix 3.2
  • Chapter 4, Sections 4.1-4.4
0000
W3 Discussion Options Menu: Forum

The Normal Probability Distribution

Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers.

In §6.2 we are introduced to the Normal Probability Distribution and the special case of the Normal Probability Distribution, the Standard Normal Probability Distribution, which is a Normal Probability Distribution with mean (u) zero and variance (σ2) one (and standard deviation of 1).

Watch these videos

https://www.youtube.com/watch?v=mFYvUxOO2T4

https://www.youtube.com/watch?v=uAxyI_XfqXk

1. What is a z score?

2. What is the purpose of a z score?

3. If a z score were -3, where on the graph would it be? Is this a rare or a common score? Why?

One way to find probabilities from a Standard Normal Distribution is to use probability tables, which are located inside the front cover of your textbook.

4. According to the table, what is the probability when z ≤ -1.23? The probability when z ≤ 1.23?

5. Select two other pairs of "opposites" on the z table (like 2, -2 etc.) and give their probabilities.

6. Show the math of adding each of the pairs. What is the total each time? Why is that the total?

7. What are the properties of the Standard Normal Probability Distribution?

View your discussion rubric.

Weekly Reading

eBook Banner

To access your eBook:

  • Select the link above
  • Select "My Home"
  • Select the eBook module for your text

Required textbook reading for this week:

  • Chapter 5, Section 5.1-5.4
  • Appendix 5.2
  • Chapter 6, Sections 6.1-6.2
  • Appendix 6.2
0000
W4 Discussion Options Menu: Forum

Sampling with a Pair of Dice

Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers.

Watch this video: https://www.youtube.com/watch?v=rBjft49MAO8

Go to the link: http://www.random.org/dice/ (or any other online dice rolling link)

Roll the 2 virtual dice and calculate the sum of the pair of virtual dice. Do this 10 times. List your rolls. Show your calculations.

Then after you have rolled the virtual pair dice 10 times and calculated 10 sums, calculate the average of these 10 sums. Show your calculations.

Conduct this experiment again, but this time roll the virtual pair of dice 20 times. Calculate the 20 sums, and then find the average of these 20 sums. Show your work.

How does these exercises relate to this week’s lesson, particularly the Central Limit Theorem?

If we took everyone’s averages for the 20 rolls, and made a histogram, what would we expect to see, and why?

View your discussion rubric.

Weekly Reading

eBook Banner

To access your eBook:

  • Select the link above
  • Select "My Home"
  • Select the eBook module for your text

Required textbook reading for this week:

  • Chapter 7, Sections 7.1-7.7
  • Appendix 7.2

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hi, I have completed the discussion post for week 1. Please review and let me know.Subsequent posts will be done as per update.

Ethics in statistics important as inferences can be manipulated by fiddling wi...


Anonymous
Great! 10/10 would recommend using Studypool to help you study.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags