OneWay ANOVA (Worksheet)
 Page ID
 1993
[ "article:topic", "OpenStax", "authorname:openstax" ]
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 oneway \(ANOVA\) 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
 Compute the following:
 Fruit:
 \(\bar{x} =\) ______
 \(s_{x} =\) ______
 \(n =\) ______
 Vegetables:
 \(\bar{x} =\) ______
 \(s_{x} =\) ______
 \(n =\) ______
 Bread:
 \(\bar{x} =\) ______
 \(s_{x} =\) ______
 \(n =\) ______
 Fruit:
 Find the following:
 \(df(\text{num}) =\) ______
 \(df(\text{denom}) =\) ______
 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 \(p\text{value}\).
 \(p\text{value} =\) ______
 Test at \(\alpha = 0.05\). 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?