Tech Inc. Student Coaching Slides: Analyzing Income Data & Hypothesis Testing

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Enhance your data analysis skills with the Future Super Tech Inc. student coaching slides. Explore histograms, sample statistics, hypothesis testing steps, income variation, and more. Learn how to determine the proportion of citizens with disposable incomes over $1,000, calculate poverty levels, and interpret statistical results. Dive deep into Excel tools for descriptive statistics and hypothesis testing to sharpen your analytical abilities.

  • Tech Inc
  • Student Coaching
  • Data Analysis
  • Hypothesis Testing
  • Income Variation

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Presentation Transcript


  1. Future Super Tech Inc. Student Coaching Slides

  2. Question 1A & 1B: Histogram See Gateway web site for Excel steps Use tools/data analysis/histogram What proportion of Country X citizens have disposable incomes > $1,000 per month? Approximate answer is ok here.

  3. Question 1C: Sample statistics See web site for Excel steps Use tools/data analysis/descriptive statistics/summary statistics Mean: first line Standard deviation: fifth line

  4. Question 1D: Hypothesis Testing Step 1: Ho: Null hypothesis = Country X s claim Step 2: H1or Ha: Alternative hypothesis = Country Y s claim (a) If Country Y wins the debate only when the population mean is less than $1,000, H1 should be one-tail (b) Otherwise, H1should be two-tail

  5. Hypothesis Testing (continued) Step 3: Critical Value (a) Determine which statistical table to use (b) If H1is one-tail, put .05 in tail; if H1is 2- tail, put .025 in each tail Step 4: Test Statistic = Sample Statistic (a) Use sample mean and standard deviation from Question 1c (b) Use standard error of the mean

  6. Hypothesis Testing (continued) Step 5: Conclusion (a) If sample statistic (absolute value) exceeds critical value, reject Ho (b) Otherwise, do not reject Ho

  7. Question 2A: Income Variation Standard deviation measures variation If standard deviation = 0, no variation, so each person has same income High standard deviation implies high variation

  8. Question 2B: Poverty Level Use Z table (normal area table) Use standard deviation, NOT standard error since this is not a sampling distribution problem Question 2B has 2 calculations, one for Country X and the other for Country Y

  9. Question 2B: Skewed Distribution If mean > median, distribution is skewed Do you think mean > median for income? Use normal table only if distribution is bell shaped Bell shaped only if symmetric Symmetric only if not skewed

  10. Question 3: Hypothesis Testing Ho: Population proportion = 1/3 (Amnesty International s claim) Normal approximation to binomial H1is one-tail if Minister of Commerce wins debate only when proportion is less than 1/3. Otherwise, it is two-tail Sample proportion = number of political prisoners/sample size

  11. Questions 4 and 5: Factors Determining GDP/Capita Physical Capital Human Capital Level of Technology Efficiency

  12. Question 5: Ethical Considerations Who benefits and who loses from the firm s decision? Who does the firm have a responsibility to? What are those responsibilities?

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