Category: Statistics

For this task, imagine that you were asked to give a scale construction proposal to a group of hypothetical PhD students. The PowerPoint presentation should include the definition of the construct that you intend to make a scale on, the existing tools measuring it, and other related studies. Also include your justification and rationale for your construction. More importantly, discuss how you will construct the items and the item response scales, how you will analyze the items reliabilities, and establish the scales validity.

Incorporate appropriate animations, transitions, and graphics as well as speaker notes for each slide. The speaker notes may be comprised of brief paragraphs or bulleted lists.

Support your presentation with at least five scholarly resources. In addition to these specified resources, other appropriate scholarly resources may be included.

Length: 12-15 slides (with a separate reference slide)

Notes Length: 200-350 words for each slide

Be sure to include citations for quotations and paraphrases with references in APA format and style where appropriate.

Directions

Initial Post

Read through the answer postings and responses already posted by classmates. Choose one and only one question that has not been answered previously. Once a question has been answered, it is no longer eligible for you to answer, and will not earn you any points should you post an answer to it.

1. Write the question number in your subject line
2. Copy the question itself in your message body

Discussion Questions

Choose one question below that has not been answered by your peers:

1. What does it take to have a normal distribution?
2. How does a normal and standard normal distribution differ? Graphs are encouraged with your written explanation.
3. Explain the difference in shapes between a distribution with a mean of 1 and a standard deviation of 2, versus one with a mean of 2 and standard deviation of 1. What would happen if you converted both of them to the standard normal distribution?
4. State the Empirical Rule. How does it differ from Chebyshevs Theorem, and how is it the same?
5. For a standard normal distribution, what percentage of the total area is contained within -1 to +2 standard deviations of the mean? How did you determine this?
6. What is the difference between a data value and a z-score? Explain the process for finding a z-score, as well as its meaning.
7. If I know that
8. and
9. for a data set, and that
10. is a data point, what is the equivalent z-score?
11. I am teaching two classes of statistics this semester. Class A had a mean of 67 with a standard deviation of 7 for Exam 1. Meanwhile, Class 1 had a mean of 75 and a standard deviation of 10 for Exam 1. There was a student in each class that earned a 70. How can I compare these two scores to each other. What assumptions must be made?
12. When I was hired by Park, internet research told me that the average salary was $62,000 with a standard deviation of $8,000. If I negotiated an annual salary of $54,000, how did I do? What salary would you have attempted to negotiate for and why?
13. Part of this section is a history lesson. The z-score table (posted in the Module under Materials) used the be the only reliable/ quick way to determine areas under the curve. Record a short video of how you can use this table to find
14. .
15. Part of this section is a history lesson. The z-score table (posted in the Module under Materials) used the be the only reliable/ quick way to determine areas under the curve. Record a short video of how you can use this table to find
16. .
17. Part of this section is a history lesson. The z-score table (posted in the Module under Materials) used the be the only reliable/ quick way to determine z-scores for given areas under a curve. Record a short video of how you can use this table to find the z-score associated with the area 0.60257?
18. Part of this section is a history lesson. The z-score table (posted in the Module under Materials) used the be the only reliable/ quick way to determine z-scores for given areas under a curve. Record a short video of how you can use this table to find the z-score associated with the area 0.01017?
19. In a standard normal distribution, find the z-score that corresponds to the 75th
20. Assume that you are thinking about starting a Mensa chapter in your hometown, which has a population of ~10,000 people. You need to know how many people would qualify for Mensa, which requires an IQ of at least 130. You realize that IQ is normally distributed with a mean of 100 and a standard deviation of 15. Find the approximate number of people in your hometown who are eligible for Mensa. Show all formulas.
21. Assume that you are thinking about starting a Mensa chapter in your hometown, which has a population of ~10,000 people. You need to know how many people would qualify for Mensa, which requires an IQ of at least 130. You realize that IQ is normally distributed with a mean of 100 and a standard deviation of 15. Is it reasonable to continue your quest for a Mensa chapter in your hometown? Explain.
22. Assume that you are thinking about starting a Mensa chapter in your hometown, which has a population of ~10,000 people. You need to know how many people would qualify for Mensa, which requires an IQ of at least 130. You realize that IQ is normally distributed with a mean of 100 and a standard deviation of 15. What would the minimum IQ score be if you wanted to start an Ultra-Mensa club that included only the top 1% of IQ scores?
23. If you take repeated samples from the sample population, would you expect to see the exact same information in each sample? Why or why not?
24. What is the standard deviation of the sample means called? What is the formula for this? Are there any special rules to watch for when trying to apply this?
25. Heights among the population of Park students is normally distributed, where
26. inches and
27. inches. If I take a sample of 15 students and record their average heights, what would you estimate the sample average and sample standard deviation to be? Why?
28. Scholarship amounts among the population of Park students is NOT normally distributed, where
29. and
30. . If I take a sample of 38 students and record their average scholarship, what would you estimate the sample average and sample standard deviation to be? Why?
31. In graduate school there was a math class with only a final exam and no other graded work. I scored 23% on it. The class average was 27%, and the standard deviation was 6%. How did I do with respect to everyone else? Using the Empirical Rule, what grade range would contain 68% of the students from class? Assume the information is normally distributed.
32. On average a person in the United States sleep 7.2 hours per night, with a standard deviation of 1.3 hours. What is the probability that a randomly selected person sleeps less than 6 hours? Explain all work and show all formulas used.
33. On average a person in the United States sleep 7.2 hours per night, with a standard deviation of 1.3 hours. What is the probability that a randomly selected person sleeps more than 9 hours? Explain all work and show all formulas used.
34. On average a person in the United States sleep 7.2 hours per night, with a standard deviation of 1.3 hours. What is the probability that a randomly selected person sleeps between 5 and 8 hours? Explain all work and show all formulas used.

I chose to write about question 32 which is actually number 23, for this discussion.

100-150 words

Examine and reflect on your understanding of this week’s materials. Share with your classmates and me the point that was clearest to you AND the point that was the muddiest (most difficult to understand). Remember to use unit-specific vocabulary and proofread to catch typos so we can focus on your content. See the attached sample if you’d like a model.

Student identifies clearest and muddiest points in weeks materials, providing enough detail to demonstrate understanding of the clear point and barriers to understanding the weakest point. Unit vocabulary is incorporated where appropriate to describe concepts.

Retailers rarely have time or resources to analyze every product in their catalog. Instead, they rely on samples of data to make pricing decisions that can shape revenue and competitiveness. This project challenges you to compare a full product population against a smaller sample, evaluate the accuracy of sampling, and uncover risks tied to sampling and non-sampling errors. Your analysis will reveal whether small datasets can guide large-scale retail strategy. Project Resources P2-1 Understanding Parameters and Statistics Foundations of Population and Sample Analysis.html P2-2 Distinguishing Sampling Error from Non-Sampling Error Sources, Examples, and Best Practices.html P2-3 Leveraging Excels AI-Powered Analyze Data Tool for Managerial Insight.html P2-4 Interpreting Sampling Error and Confidence Intervals for Decision-Making.html P2-5 Non-Sampling Errors Identification, Mitigation, and Pricing Impact.html P2-6 Writing Managerial Recommendations Addressing Sampling and Non-Sampling Errors.html Decide whether a small sample of product prices represents the full catalog (population), and explain how sampling error and non-sampling error could impact retail pricing decisions. Quick Data Check (Excel) Download the 25 rows of data and save the file to your computer. ChatGPT will ask: Would you like me to also save the full dataset as a CSV file for download? Answer yes, and then download the data with 250 rows and save the file to your computer. Turn ranges into Tables: Home Format as Table (name them Population and Sample). You do this for both files. Ensure Price column is numeric and remove any text symbols (e.g., $). Step 3: Descriptive Statistics (Population vs. Sample) You do this for both files. The Analyze Data icon in Excel (on the Home tab) is an AI-powered tool that quickly summarizes, explores, and visualizes your dataset. By selecting a data range and clicking the icon, Excel automatically suggests pivot tables, charts, and key insights such as averages, trends, or correlations. You can also type natural language questions (e.g., average price by category), and Excel generates answers instantly, helping you discover patterns without manually building formulas or pivot tables. You will use the Analyze Data Icon in Excel for the following. (Running the data will take between 10 and 15 minutes. You are copying the commands, clicking insert pivot table, and the program is doing all of the table and chart creation. Enter each request one at a time for both the Sample and the population data files: Average ‘Price’ by ‘Category’ Select insert pivot table Average ‘Price’ by ‘Region’ Select insert pivot table Average ‘Price’ by ‘Channel’ Select insert pivot table Average ‘Price’ by ‘DiscountFlag’ Select insert pivot table Average ‘Price’ by ‘Category’ and ‘DiscountFlag’ Select insert pivot table Average ‘Price’ by ‘Category’, ‘Channel’, ‘Region’, and ‘DiscountFlag’ Select insert pivot table Median ‘Price’ by ‘Category’ Select insert pivot table Median ‘Price’ by ‘Region’ Select insert pivot table Median ‘Price’ by ‘Channel’ Select insert pivot table Median ‘Price’ by ‘DiscountFlag’ Select insert pivot table Standard Deviation ‘Price’ by ‘Category’ Select insert pivot table Standard Deviation ‘Price’ by ‘Region’ Select insert pivot table Standard Deviation ‘Price’ by ‘Channel’ Select insert pivot table Standard Deviation ‘Price’ by ‘DiscountFlag’ Select insert pivot table Decide what information should be shared for the project. Use the output or create a series of tables comparing the data and paste them into Word. Each table must be accompanied by a brief written explanation. Create a table of the data, Sampling error, and 95% Confidence Interval. Credit ChatGPT as the source. Describe the findings. Does the population mean fall inside the samples 95% CI? If yes, your sample mean is consistent with the population mean (sampling error acceptable). If no, the sample may be unrepresentative (or n is too small), which can mislead pricing decisions. Step 4 should be 34 of a page in length (table not included). Cite the module readings or other sources and add them to the reference list. Do not use quotations. Step 5: Non-Sampling Errors (identify & mitigate) List three plausible non-sampling errors. This section requires research. ChatGPT may not be used for this section of the assignment. Explain how each non-sampling error could skew pricing decisions (e.g., overpricing due to missing low-price groceries). Which non-sampling errors pose the greatest risk to pricing strategy? Step 6: Managerial Recommendation Provide a recommendation for management that addresses both sampling and non-sampling sources of error. Suggest one actionable step (e.g., increase sample size, stratify sampling by Category/Region, add data validation rules, or test promotions before full rollout). Steps 5 and 6 should be 1 1/2 pages in length. Cite the module readings or other sources and add them to the reference list. Do not use quotations. ChatGPT or other AI tools may not be used for this section of the assignment. Deliverables Excel File 1: Population (including the pivot tables created using Analyze Data). Excel File 2: Sample (including the pivot tables created using Analyze Data) If ChatGPT or other AI is used to create the content (other than Step 3), a zero will be awarded for it. The assignment will not be graded without the Excel file. Template Word file with the Excel charts and graphs included, along with the interpretation connecting numerical findings and visual evidence. Do not submit a PDF. Use the following APA-formatted template: MBA5008 Data Analysis 2 Template.docx to create your submission. The template is set up in APA 7: double-spacing, font, margins, headings, page breaks, APA help links. Reminders Before getting started, review the rubric for grading details and expectations. Compose your project in Microsoft Word, using APA style. Use three or more scholarly sources to support your work. Need help with the reference list format or citation format? Free Citation Generator (APA 7) “Full citation is for the Reference list. In-text citation is used in the written paragraph. No quotations are permitted in this memo. Since you are engaging in research, be sure to cite and reference the sources in APA format. This is a professional paper, not a personal one based on feelings. It must be written in the third person; this means words like I, we, and you are not appropriate.

Retailers rarely have time or resources to analyze every product in their catalog. Instead, they rely on samples of data to make pricing decisions that can shape revenue and competitiveness. This project challenges you to compare a full product population against a smaller sample, evaluate the accuracy of sampling, and uncover risks tied to sampling and non-sampling errors. Your analysis will reveal whether small datasets can guide large-scale retail strategy. Project Resources P2-1 Understanding Parameters and Statistics Foundations of Population and Sample Analysis.html P2-2 Distinguishing Sampling Error from Non-Sampling Error Sources, Examples, and Best Practices.html P2-3 Leveraging Excels AI-Powered Analyze Data Tool for Managerial Insight.html P2-4 Interpreting Sampling Error and Confidence Intervals for Decision-Making.html P2-5 Non-Sampling Errors Identification, Mitigation, and Pricing Impact.html P2-6 Writing Managerial Recommendations Addressing Sampling and Non-Sampling Errors.html Decide whether a small sample of product prices represents the full catalog (population), and explain how sampling error and non-sampling error could impact retail pricing decisions. Quick Data Check (Excel) Download the 25 rows of data and save the file to your computer. ChatGPT will ask: Would you like me to also save the full dataset as a CSV file for download? Answer yes, and then download the data with 250 rows and save the file to your computer. Turn ranges into Tables: Home Format as Table (name them Population and Sample). You do this for both files. Ensure Price column is numeric and remove any text symbols (e.g., $). Step 3: Descriptive Statistics (Population vs. Sample) You do this for both files. The Analyze Data icon in Excel (on the Home tab) is an AI-powered tool that quickly summarizes, explores, and visualizes your dataset. By selecting a data range and clicking the icon, Excel automatically suggests pivot tables, charts, and key insights such as averages, trends, or correlations. You can also type natural language questions (e.g., average price by category), and Excel generates answers instantly, helping you discover patterns without manually building formulas or pivot tables. You will use the Analyze Data Icon in Excel for the following. (Running the data will take between 10 and 15 minutes. You are copying the commands, clicking insert pivot table, and the program is doing all of the table and chart creation. Enter each request one at a time for both the Sample and the population data files: Average ‘Price’ by ‘Category’ Select insert pivot table Average ‘Price’ by ‘Region’ Select insert pivot table Average ‘Price’ by ‘Channel’ Select insert pivot table Average ‘Price’ by ‘DiscountFlag’ Select insert pivot table Average ‘Price’ by ‘Category’ and ‘DiscountFlag’ Select insert pivot table Average ‘Price’ by ‘Category’, ‘Channel’, ‘Region’, and ‘DiscountFlag’ Select insert pivot table Median ‘Price’ by ‘Category’ Select insert pivot table Median ‘Price’ by ‘Region’ Select insert pivot table Median ‘Price’ by ‘Channel’ Select insert pivot table Median ‘Price’ by ‘DiscountFlag’ Select insert pivot table Standard Deviation ‘Price’ by ‘Category’ Select insert pivot table Standard Deviation ‘Price’ by ‘Region’ Select insert pivot table Standard Deviation ‘Price’ by ‘Channel’ Select insert pivot table Standard Deviation ‘Price’ by ‘DiscountFlag’ Select insert pivot table Decide what information should be shared for the project. Use the output or create a series of tables comparing the data and paste them into Word. Each table must be accompanied by a brief written explanation. Create a table of the data, Sampling error, and 95% Confidence Interval. Credit ChatGPT as the source. Describe the findings. Does the population mean fall inside the samples 95% CI? If yes, your sample mean is consistent with the population mean (sampling error acceptable). If no, the sample may be unrepresentative (or n is too small), which can mislead pricing decisions. Step 4 should be 34 of a page in length (table not included). Cite the module readings or other sources and add them to the reference list. Do not use quotations. Step 5: Non-Sampling Errors (identify & mitigate) List three plausible non-sampling errors. This section requires research. ChatGPT may not be used for this section of the assignment. Explain how each non-sampling error could skew pricing decisions (e.g., overpricing due to missing low-price groceries). Which non-sampling errors pose the greatest risk to pricing strategy? Step 6: Managerial Recommendation Provide a recommendation for management that addresses both sampling and non-sampling sources of error. Suggest one actionable step (e.g., increase sample size, stratify sampling by Category/Region, add data validation rules, or test promotions before full rollout). Steps 5 and 6 should be 1 1/2 pages in length. Cite the module readings or other sources and add them to the reference list. Do not use quotations. ChatGPT or other AI tools may not be used for this section of the assignment. Deliverables Excel File 1: Population (including the pivot tables created using Analyze Data). Excel File 2: Sample (including the pivot tables created using Analyze Data) If ChatGPT or other AI is used to create the content (other than Step 3), a zero will be awarded for it. The assignment will not be graded without the Excel file. Template Word file with the Excel charts and graphs included, along with the interpretation connecting numerical findings and visual evidence. Do not submit a PDF. Use the following APA-formatted template: MBA5008 Data Analysis 2 Template.docx to create your submission. The template is set up in APA 7: double-spacing, font, margins, headings, page breaks, APA help links. Reminders Before getting started, review the rubric for grading details and expectations. Compose your project in Microsoft Word, using APA style. Use three or more scholarly sources to support your work. Need help with the reference list format or citation format? Free Citation Generator (APA 7) “Full citation is for the Reference list. In-text citation is used in the written paragraph. No quotations are permitted in this memo. Since you are engaging in research, be sure to cite and reference the sources in APA format. This is a professional paper, not a personal one based on feelings. It must be written in the third person; this means words like I, we, and you are not appropriate.

EPSY 710 Introduction to Statistical Analysis

Homework #2

76 points possible

Due: February 24, 2026 at 11:59pm CST

Directions: For this homework assignment, you must show all of your calculations unless specifically directed not to do so. If you choose to use Excel for calculations, you must include a column for each step in the formulas. You may not just use the built in formulas within Excel. PLEASE MAKE SURE YOUR RESPONSES ARE NEAT AND READABLE. Homework that is difficult to grade due to messiness will be returned ungraded. Round your final answers to three decimal places.

EPSY 710 Introduction to Statistical Analysis

Homework #2

76 points possible

Due: February 24, 2026 at 11:59pm CST

Directions: For this homework assignment, you must show all of your calculations unless specifically directed not to do so. If you choose to use Excel for calculations, you must include a column for each step in the formulas. You may not just use the built in formulas within Excel. PLEASE MAKE SURE YOUR RESPONSES ARE NEAT AND READABLE. Homework that is difficult to grade due to messiness will be returned ungraded. Round your final answers to three decimal places.