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F Distribution and ANOVA: ANOVA Lab

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

Summary: This module provides a lab of F Distribution and ANOVA as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

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Class Time:

Names:

Student Learning Outcome:

  • The student will conduct a simple ANOVA test involving three variables.

Collect the Data

Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local supermarket.

  1. Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local supermarket.
    Table 1
    Fruits Vegetables Breads
         
         
         
         
         
         
         
         
  2. Explain how you could try to collect the data randomly.

Analyze the Data

  1. Compute the following:
    • a. Fruit:
      • i. x¯ x =
      • ii. s x s x=
      • iii. nn =
    • a. Vegetables:
      • i. x¯ x =
      • ii. s x s x =
      • iii. nn=
    • a. Bread:
      • i. x¯ x =
      • ii. s x s x=
      • iii. nn =
  2. Find the following:
    • a. df(num)df(num) =
    • b. df(denom)df(denom) =
  3. State the approximate distribution for the test.
  4. Test statistic: FF =
  5. Sketch a graph of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
  6. p-value =
  7. Test at α=0.05α=0.05. State your decision and conclusion.
    • a. Decision: Why did you make this decision?
    • b. Conclusion (write a complete sentence).
    • c. Based on the results of your study, is there a need to further investigate any of the food groups’ prices? Why or why not?

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