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13.5: Lab- One-Way ANOVA

Introductory Statistics · LibreTexts

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    Name: ______________________________

    Section: _____________________________

    Student ID#:__________________________

    Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

    Student Learning Outcome

    • The student will conduct a simple one-way \(ANOVA\) test involving three variables.

    Collect the Data

    Record the price per pound of eight fruits, eight vegetables, and eight breads in your local supermarket.

    Fruits Vegetables Breads

    Explain how you could try to collect the data randomly.

    Analyze the Data and Conduct a Hypothesis Test

    1. Compute the following:
      1. Fruit:
        1. \(\bar{x} =\) ______
        2. \(s_{x} =\) ______
        3. \(n =\) ______
      2. Vegetables:
        1. \(\bar{x} =\) ______
        2. \(s_{x} =\) ______
        3. \(n =\) ______
      3. Bread:
        1. \(\bar{x} =\) ______
        2. \(s_{x} =\) ______
        3. \(n =\) ______
    2. Find the following:
      1. \(df(\text{num}) =\) ______
      2. \(df(\text{denom}) =\) ______
    3. State the approximate distribution for the test.
    4. Test statistic: \(F =\) ______
    5. Sketch a graph of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the \(p\text{-value}\).
    6. \(p\text{-value} =\) ______
    7. Test at \(\alpha = 0.05\). 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’ prices? Why or why not?

    This page titled 13.5: Lab- One-Way ANOVA was last modified on Thu, 05 Aug 2021 18:27:12 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.