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# Analysis of Variance Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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#### Question 1 1. In which of these disciplines can an ANOVA be used?

#### Question 2 2. What is a null hypothesis?

#### Question 3 3. What is the hypothesis stating that there will be a difference between groups as indicated by the ANOVA performed on the data that is collected?

#### Question 4 4. What does ANOVA stand for?

#### Question 5 5. In order to conduct a study to determine whether meditation affects body weight, Brian plans to have one group participate in different lengths of meditation time. After each length of meditation time, Brian will measure the body weight of each individual in the group, which is _____ form of ANOVA.

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#### Question 6 6. Brian plans to have one group participate in different lengths of meditation time for his study to determine whether meditation affects body weight. After each length of meditation time, he will measure the body weight of each individual in the group. Brian's assistant, Barney, is worried that they will not see a big difference in the body weight of the participants from the first post-meditation weigh-in to the subsequent weigh-ins. What phenomenon is Barney worried about?

#### Question 7 7. The purpose of running an ANOVA is to find the _____ .

#### Question 8 8. Brian is conducting a study to determine whether meditation affects body weight. Brian plans to have three different groups, where each group will be assigned a different length of meditation time. When Brian gathers his data, he will compare the body weights of the participants between groups. Which type of ANOVA is Brian using?

#### Question 9 9. In which of these situations would you use a two-way ANOVA?

#### Question 10 10. A two-way ANOVA is performed and the sum of squares for factor B (SS-B) is found to be 312. If there are 5 groups in factor B, what is the value for the mean square (MS-B)?

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Question 11
11.
A two-way ANOVA is performed and for the interaction effect, the mean square for the interaction (MS-I) is found to be 270. The within-group variation (MS-W) is 45. A table of critical f-ratios tells you that the critical f-ratio for this experiment is 6.21 at the alpha = 0.01 significance level.

Is there enough evidence here to show that there is an interaction effect?

#### Question 12 12. A two-way ANOVA is performed and the f-ratio for factor A is calculated to be 4.8. The critical f-ratio at a significance level of alpha = 0.05 is 4.3. From this information, what can you conclude about how factor A is influencing the measured variable?

#### Question 13 13. Sarah performs an experiment to determine the best amount of sun and water for a certain type of plant. She varies the amount of water the plants get each day and also how much time they are in the sun. At the end of six weeks, she measures how tall each plant is. What is the independent variable in this experiment?

#### Question 14 14. In an experiment in which there are two independent variables, how many effects will an ANOVA test for?

#### Question 15 15. In which situation would you use a two-way ANOVA?

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#### Question 16 16. A two-way ANOVA is performed and the F-ratio for the interaction effect is calculated to be 4.32. In an F-ratio table, you find that the critical F-ratio is 3.21. Can you say that the interaction effect is statistically significant or not?

#### Question 17 17. Which of these is sum of squares used to calculate?

#### Question 18 18. An experiment is performed and the sum of squares is calculated. Which of the following sum of squares values would indicate the largest amount of variability in the data?

#### Question 19 19. An experiment is performed and the sum of squares is calculated. Which of the following sum of squares values would indicate the smallest amount of variability in the data?

####
Question 20
20.
Calculate the sum of squares for the following data set:

100

150

120

130

140

120

110

130

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#### Question 21 21. You perform an ANOVA and determine that the within-group variance is 89.9, while the between-group variance is 57.2. What can you concluded about this data?

#### Question 22 22. A data set in which all the values are very close to the mean value would have a small _____.

#### Question 23 23. In an experiment, there are 8 different groups with 4 measurements per group. To calculate the within group variance, what would you use for N and g?

####
Question 24
24.
What is the sum of squared deviations for the following set of data?

43

59

48

52

54

56

#### Question 25 25. Danna and her family have owned and operated a bar and grill for the last 30 years Now, they are considering switching brands of ranch dressing. In an effort to determine the right way to move forward, she designs a simple experiment in which lunch customers use dressing from the current Brand X while dinner customers are given the new dressing (Brand Y). Which statement accurately describes the control group?

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#### Question 26 26. Which type of experimental design that divides a sample into several, relatively similar parts which are then compared (as a group) with other groups?

#### Question 27 27. As Danna's Pub & Grill tests the two different kinds of ranch dressing, Danna informs each table that they are receiving the current brand or the new brand. By doing this, Danna's research lacks the typical experimental provision of being:

#### Question 28 28. When selecting a business experiment design that includes a high number of variables, proving the validity of the experiment's results will require:

#### Question 29 29. What does ANOVA measure?

#### Question 30 30. Brian wants to know if there is a significant difference between the means in the study he is conducting. What value does Brian need to examine?

#### Analysis of Variance Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!