13.9 Lab: 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

1. Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local supermarket.

   Fruits	Vegetables	Breads

2. Explain how you could try to collect the data randomly.

Analyze the data and conduct a hypothesis test

1. Compute the following:
   • a Fruit:
     • i $\overline{x}$ =
     • ii $s_x$ =
     • iii $n$ =
   • a Vegetables:
     • i $\overline{x}$ =
     • ii $s_x$ =
     • iii $n$ =
   • a Bread:
     • i $\overline{x}$ =
     • ii $s_x$ =
     • iii $n$ =
2. Find the following:
   • a $\mathrm{df(num)}$ =
   • b $\mathrm{df(denom)}$ =
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-value.
6. p-value =
7. Test at $\alpha =0.05$ . State your decision and conclusion.
8. • a Decision: Why did you make this decision?
   • b Conclusion (write a complete sentence).
   • c Based on the results of your study, is there a need to further investigate any of the food groups’ prices? Why or why not?