# One-Way ANOVA (Worksheet)

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.

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. $$n =$$ ______
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?