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Describe the data using the measures of central tendency and measures of variability. Apply the normal distribution, stand

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02 Mar Describe the data using the measures of central tendency and measures of variability. Apply the normal distribution, stand

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STA3215CBE Section 01CBE Inferential Statistics and Analytics (11 Weeks) – CBE – 2022 Winter Quarter

Deliverable 7 – Statistical Analysis Report

Deliverable 7 – Statistical Analysis Report

Assignment Content

  1. Competencies
    • Describe the data using the measures of central tendency and measures of variability.
    • Apply the normal distribution, standard normal distribution, and central limit theorem.
    • Develop a confidence interval for a population parameter.
    • Evaluate hypothesis tests for population parameters from one population.
    • Evaluate hypothesis tests for population parameters from two populations.
    • Determine the linear correlation and regression equation between two variables to make predictions for the dependent variable.
    • Student Success Criteria
      View the grading rubric for this deliverable by selecting the “This item is graded with a rubric” link, which is located in the Details & Information pane.

      Instructions
      You are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager, and together you work to use statistical analysis to look more closely at the ages of these patients.

      You do some research and put together a spreadsheet of the data that contains the following information

    • Client number
    • Infection disease status
    • Age of the patient
    • Deliverable 7 – Statistical Analysis Report.xlsx

      You are to put together a PowerPoint presentation that explains the analysis of your findings which you will submit to your manager. The presentation should contain all components of your findings. For review, the components of the report should include:

    1. Brief overview of the scenario and variables in the data set
    2. Discussion, calculation, and interpretation of the mean, median, mode, range, standard deviation, and variance
    3. Discussion, construction, and interpretation of the 95% confidence interval
    4. Explanation of the full hypothesis test
    5. Conclusion
    6. The calculations should be performed in your spreadsheet that you will also submit to your manager. You can find additional information on what to add to your PowerPoint presentation in this Word document. 

      Deliverable 7 – PowerPoint Instructions.docx

      Use the questions in the worksheet as your guide for the contents of your presentation.

      For your final deliverable, submit your PowerPoint presentation and the Excel workbook showing your work. Do not submit your Word document.

Deliverable 07 Worksheet

Scenario

You are currently working at NCLEX Memorial Hospital in the Infectious Diseases Unit. Over the past few days, you have noticed an increase in patients admitted with a particular infectious disease. You believe that the ages of these patients play a critical role in the method used to treat the patients. You decide to speak to your manager, and together you work to use statistical analysis to look more closely at the ages of these patients.

You do some research and put together a spreadsheet of the data that contains the following information:

· Client number

· Infection disease status

· Age of the patient

You need the preliminary findings immediately so that you can start treating these patients. So, let’s get to work!

Background information on the Data:

The data set consists of 70 patients that have the infectious disease with ages ranging from 41 years of age to 84 years of age for NCLEX Memorial Hospital.

Requirements:

1) Answer the questions below in a PowerPoint presentation.

2) Include the summary calculations and the formulas in your slides either symbolically or from Excel. Do not round your results.

3) Show calculations in your Excel spreadsheet.

Submit both the PowerPoint and Excel files.

PowerPoint Presentation Requirements

Slide 1

Title

Title Slide

Slide 2

Overview

Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.

Slide 3

Classification

Classify the variables in your data set.

· Which variables are quantitative/qualitative?

· Which variables are discrete/continuous?

· Describe the level of measurement for each variable included in the data set (nominal, ordinal, interval, ratio)

Slide 4

Measures of Center

What are the measures of center and why are they important? Describe each individually and list any advantages or disadvantages that each may have.

Slide 5

Measures of Variation

What are the measures of variation and why are they important? Describe each individually and list any advantages or disadvantages that each may have.

Slide 6

Calculations

Show your results for the following calculations. Include formulas used in Excel. Interpret your results in the context of the scenario and include units of measurement for each.

· Mean

· Median

· Mode

· Mid-range

· Range

· Variance

· Standard Deviation

Slide 7

Confidence Intervals

Show your responses for the follow questions:

· What are confidence intervals?

· What is a point estimate?

· What is the best point estimate for a population mean? Explain.

· Why do we need confidence intervals?

Slide 8

Confidence Intervals

Construct a 95% confidence interval for the population mean ages of the patients. Assume that your data is normally distributed and σ is unknown.

Show results for the following calculations in constructing the confidence interval. Include formulas used in Excel. Interpret the confidence interval.

· Critical Value

· Margin of Error

· Upper and Lower Bounds

Slide 9

Hypothesis Testing

Perform the following hypothesis test based on the claim that the average age of all patients admitted to the hospital with infectious diseases is less than 64 years of age.

Write the null and alternative hypothesis symbolically and include the following additional information:

· Which hypothesis is the claim?

· Is the test two-tailed, left-tailed, or right-tailed? Explain

· Which test statistic will you use for your hypothesis test, z-test or t-test? Explain.

Slide 10

Hypothesis Testing

Continue the hypothesis test based on the claim that the average age of all patients admitted to the hospital with infectious diseases is less than 64 years of age.

Show your results and formulas used for the following calculations:

· Test Statistic

· Critical Value

· P-value

Slide 11

Hypothesis Testing

Complete the hypothesis test by explaining the following:

· Decision to reject the null hypothesis or to not reject the null hypothesis.

· Explain your decision using the critical value method.

· Explain your reasoning using the P-value method.

· Restate your conclusion in non-technical terms.

Slide 12

Conclusion

Conclude by recapping your ideas by summarizing the information presented in context of the scenario.

· Include the mean, standard deviation, confidence interval with interpretation, and result of the hypothesis test.

· What conclusions, if any, do you believe we can draw as a result of your study?

· What did you learn from the project about the population based on this sample?

· What did you learn about the specific statistical tests you conducted?

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