statistics and quantitative analysis discussion

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Topic: Checking for Quality

Scenario: A venture capitalist has just given you several million dollars to develop your dream product! Explain in detail what this product is and why people would buy it. (Think Steve Jobs and the iPhone – did people really think we needed “smartphones” back in 2007?)

Main Post: Now your dream product has gone into production and the manager is asking you, as the statistical expert, to use statistical methods to ensure quality control. See Example (attached) and DB starter video in Unit 10 LiveBinder.

1. You will generate a random dataset of N samples of defective proportions by completing the following steps:

a) You will start with a random number by combining the last 2 digits of the year in which you were born plus the day of the month in which you were born. For example, if you were born October 3, 1990, your number would be 90 + 3 = 93. (If your number exceeds 100, subtract 100 from the total.) Call this X and it will seed your random number generation.

b) Choose a number of samples, N. (N should be between 5 and 10 samples.)

c) In Excel, type =RAND()*X in a cell. Repeat N times. This will generate the proportion of defective products (out of 100) for your N samples.

2. Use Excel to create a p-chart for a sample size, 100, and the number of samples, N.

3. Write a professional memo to your business/company owner describing the production quality so far and prioritizing any control measures necessary to guarantee high quality products.

Address the following items and questions in your professional memo:

  • Describe your product, its use, and societal value. (Humor is encouraged.)
  • Share and summarize your p-chart.
  • What is your Lower Control Limit (LCL) and Upper Control Limit (UCL)?
  • Is the product in control? If not in control, what sample(s) was outside of the limits, i.e., below LCL or above UCL?
  • What measures could be taken now to address the data points that out of control?
  • What recommendations would you suggest to optimize quality in future production?

 

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statistics and quantitative analysis discussion was first posted on August 9, 2020 at 5:32 pm.
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module 6 analysis with correlations and regression

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Competency

Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatter plot of the data and make predictions.

Scenario

According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform California Earthquake Rupture Forecast (UCERF).

As a junior analyst at the USGS, you are tasked to determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and depths from the earthquakes. Your deliverables will be a PowerPoint presentation you will create summarizing your findings and an excel document to show your work.

Concepts Being Studied

  • Correlation and regression
  • Creating scatterplots
  • Constructing and interpreting a Hypothesis Test for Correlation using r as the test statistic

You are given a spreadsheet Click for more options

that contains the following information:

  • Magnitude measured on the Richter scale
  • Depth in km

Using the spreadsheet, you will answer the problems below in a PowerPoint presentation.

What to Submit

The PowerPoint presentation should answer and explain the following questions based on the spreadsheet provided above.

  • Slide 1: Title slide
  • Slide 2: Introduce your scenario and data set including the variables provided.
  • Slide 3: Construct a scatterplot of the two variables provided in the spreadsheet. Include a description of what you see in the scatterplot.
  • Slide 4: Find the value of the linear correlation coefficient r and the critical value of r using α = 0.05. Include an explanation on how you found those values.
  • Slide 5: Determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitudes and the depths from the earthquakes. Explain.
  • Slide 6: Find the regression equation. Let the predictor (x) variable be the magnitude. Identify the slope and the y-intercept within your regression equation.
  • Slide 7: Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.
  • Slide 8: Conclude by recapping your ideas by summarizing the information presented in context of the scenario.

Along with your PowerPoint presentation, you should include your Excel document which shows all calculations.

Grading Rubric

F F C B A
0 1 2 3 4
Not Submitted No Pass Competence Proficiency Mastery
Not Submitted Did not correctly solve a majority of the problems or at least one problem left blank. Correctly solved a majority of the problems. Correctly solved almost all the problems. All problems are solved correctly.
Not Submitted Very few steps are provided to explain how to solve the problem OR the steps provided have several errors. Fairly complete and detailed steps are provided to explain how to solve the problem OR the steps provided have some errors. Mostly complete and detailed steps are provided to explain how to solve the problem. Complete and detailed steps are provided to explain how to solve the problem.
Not Submitted Explanations generally lack a basic understanding of the statistical concepts or lack of proper terminology. Explanations demonstrate a basic understanding of most of the statistical concepts and terminology, but some explanations may be incomplete or incorrect. Explanations demonstrate a proficient understanding of most of the statistical concepts and terminology, but with small errors. Explanations demonstrate a mastery of understanding of the statistical concepts and terminology.
Not Submitted The majority of variables, equations, and expressions are not properly formatted. The majority of variables, equations, and expressions are properly formatted. Almost all variables, equations, and expressions are properly formatted. All variables, equations, and expressions are properly formatted.

 

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module 6 analysis with correlations and regression was first posted on August 9, 2020 at 5:11 pm.
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case study 2199

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Read the case and finish the question below only need question number 3:

“3. Make a recommendation for French.”

 

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case study 2199 was first posted on August 9, 2020 at 5:25 pm.
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Quality Improvement in the Health Care Organization Accreditation

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The mandate for improving the way in which health care is delivered was stimulated by the public outcry over the estimated 98,000 deaths because of medical errors each year according to the Institute of Medicine in 1999. Since then, health care organizations have sought means by which the public can be reassured that they were meeting quality and safety standards. Accreditation agencies (e.g., The Joint Commission) and quality awards provide a means for the public to evaluate where the agency is meeting minimum standards.

You have been assigned by your manager to determine which accrediting agencies or quality improvement programs your hospital will utilize in its upcoming revenue cycle. Your hospital is a magnet hospital in a large urban area that provides multilayered services. You have previously used The Joint Commission for your accreditation but feel that you might be better served by using another accrediting body. You have three months in which to gather data and present the information to your manager.

Complete the following for this assignment:

Choose 3 quality improvement or accreditation-related programs to consider in replacing The Joint Commission for your organization, and briefly describe them. Your agency accepts Medicare and Medicaid payments; therefore, you will need to explore, as background, the conditions of participation for Centers for Medicare and Medicaid Services (CMS). This is important information because you will need to compare your list of accrediting agencies and quality improvement programs with the conditions of participation to see if they meet the criteria.
Analyze the costs and benefits of each quality improvement or accreditation-related program by stakeholder group (e.g., patient, provider, and third-party payer).
Rank your quality improvement or accreditation-related program suggestions with rationale.

Sample Solution

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