### Introduction

Stats Lab 13.1

#### One-Way ANOVA

Class Time:

Names:

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:
- Fruit
- $\overline{x}$ = ______
- ${s}_{x}$ = ______
*n*= ______

- Vegetables
- $\overline{x}$ = ______
- ${s}_{x}$ = ______
*n*= ______

- Bread
- $\overline{x}$ = ______
- ${s}_{x}$ = ______
*n*= ______

- Fruit
- Find the following:
*df*(*num*) = ______*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. -
- Decision: Why did you make this decision?
- Conclusion (write a complete sentence):
- Based on the results of your study, is there a need to investigate any of the food groups’ prices? Why or why not?