Lab: One-Way ANOVA, F Distribution and One-way Anova | Statistics

Learning objectives

One-Way ANOVA

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

State the null hypothesis and the alternative hypothesis.
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 = ______
Find the following:
1. df(num) = ______
2. df(denom) = ______
State the approximate distribution for the test.
Test statistic: F = ______
Sketch a graph of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
p-value = ______
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?

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Fruits	Vegetables	Breads