The student will conduct a simple one-way ANOVA test involving three variables C

Question

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 collected the data randomly. 1. 2. Analyze the Data (Hypothesis Test) Compute the following: a. Fruit: 3. 72 b. Vegetables: 72 c. Bread: 4. Find the following: a. df (num) b. df (denom) State the approximate distribution for the test 5. 6. Test statistic 7 p-value 8. Test at a- 0.05. State your decision and conclusion. 9. a. Decision: Why did you make this decision? b. Conclusion (write a complete sentence). c. Based on the result of your study, is there a need to investigate any of the food groups' prices? Why or shy not?

Explanation / Answer

Q-3. (a)

Fruits:- 50,55,60,40,45,80,50,65

x-bar=55.625

12.65969

n=8

(b) Vegetables:- 10,15,20,25,12,18,25,30

x-bar=19.375

Standard deviation=6.96804

n=8

(c) Breads:- 10,12,15,18,20,25,30,35

x-bar=20.625

Standard Deviation=8.78208

n=8

Q-4

degree of freedom = n-1 = 8-1 = 7

Q-5

The f-ratio value is 35.53987. The p-value is < .00001. The result is significant at p < .05.

Ifthe p-value is less than 0.05, we reject the null hypothesis that there's no difference between the means and conclude that a significant difference does exist.

Sample Standard Deviation, s

12.65969

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