Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Statistics

13.5 Lab: One-Way ANOVA

Statistics13.5 Lab: One-Way ANOVA

Stats Lab

One-Way ANOVA

Student Learning Outcome
  • The student will conduct a simple one-way ANOVA test involving three variables.
Collect the Data
  1. Record the price per pound of eight fruits, eight vegetables, and eight breads in your local supermarket.
    Fruits Vegetables Breads
    Table 13.12
  2. Explain how you could try to collect the data randomly.
Analyze the Data and Conduct a Hypothesis Test
  1. State the null hypothesis and the alternative hypothesis.
  2. Compute the following:
    1. Fruit
      1. x ¯ x ¯ = ______
      2. s x s x = ______
      3. n = ______
    2. Vegetables
      1. x ¯ x ¯ = ______
      2. s x s x = ______
      3. n = ______
    3. Bread
      1. x ¯ x ¯ = ______
      2. s x s x = ______
      3. n = ______
  3. Find the following:
    1. df(num) = ______
    2. df(denom) = ______
  4. State the approximate distribution for the test.
  5. Test statistic: F = ______
  6. Sketch a graph of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
  7. p-value = ______
  8. Test at α = 0.05. State your decision and conclusion.
    1. Decision: why did you make this decision?
    2. Conclusion (write a complete sentence):
    3. Based on the results of your study, is there a need to investigate any of the food groups’s prices? Why or why not?
PreviousNext
Order a print copy
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute Texas Education Agency (TEA). The original material is available at: https://www.texasgateway.org/book/tea-statistics . Changes were made to the original material, including updates to art, structure, and other content updates.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/statistics/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/statistics/pages/1-introduction
Citation information

© Apr 16, 2024 Texas Education Agency (TEA). The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.