Lab: One-Way ANOVA · Statistics

One-Way ANOVA

Class Time:

Names:

Student Learning Outcome

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’ prices? Why or why not?