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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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Class Time:

Names:

## Student Learning Outcome:

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

## Do the Experiment:

• Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local supermarket.
• Explain how you could try to collect the data randomly.
1. Compute the following:

### Fruit:

• x¯x¯ size 12{ {overline {x}} } {}= _______
• sxsx size 12{s rSub { size 8{x} } } {} = _______
• nn size 12{n} {} = _______

### Vegetable:

• x¯x¯ size 12{ {overline {x}} } {}= _______
• sxsx size 12{s rSub { size 8{x} } } {} = _______
• nn size 12{n} {} = _______

• x¯x¯ size 12{ {overline {x}} } {}= _______
• sxsx size 12{s rSub { size 8{x} } } {} = _______
• nn size 12{n} {} = _______
• dfnumdfnum size 12{ ital "df" left ( ital "num" right )} {}= _______
• dfdenomdfdenom size 12{ ital "df" left ( ital "denom" right )} {} = _______
2. State the approximate distribution for the test.
3. Test statistic: FF size 12{F} {} = _______
4. Sketch a graph of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the pp size 12{p} {}-value.
5. What is the pp size 12{p} {}-value?
6. Test at α=0.05α=0.05 size 12{α=0 "." "05"} {}.
• State your decision. Why did you make that decision?
• State your conclusion (write a complete sentence).
• 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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