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# F Distribution and ANOVA: ANOVA Lab

Summary: Note: This module is currently under revision, and its content is subject to change. This module is being prepared as part of a statistics textbook that will be available for the Fall 2008 semester.

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## 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

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=
• 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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