prac2_a - STA 3024 Exam 2 Sample Questions 1 One-way ANOVA...

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Unformatted text preview: STA 3024 Exam 2 Sample Questions 1. One-way ANOVA requires (A) a quantitative explanatory variable and a quantitative response variable. (B) a quantitative explanatory variable and a categorical response variable. (C) a categorical explanatory variable and a quantitative response variable. (D) a categorical explanatory variable and a categorical response variable. 2. A researcher wants to see if the growth of a certain type of plant is affected by soil type. She plants 10 plants in each of three soil types (30 plants total). Unfortunately, her assistant is careless in watering the plants during the course of the experiment, so different plants get different amounts of water. This introduces a lot of extra variability from plant to plant within the same group, but it doesn’t affect the variability between groups. How does the assistant’s carelessness affect the total sum of squares, SS Tot ? (A) SS Tot will become larger. (B) SS Tot will become smaller. (C) SS Tot will stay the same. (D) We don’t know how SS Tot will be affected. 3. A one-way ANOVA with four groups and 43 total observations yields SS G = 3 . 12, SS E = 22 . 39, and SS Tot = 25 . 51. What is MS G ? (A) 0.78 (B) 1.04 (C) 1.75 (D) 2.61 (E) 2.84 4. A one-way ANOVA with two groups yields the following ANOVA table (some items are missing): Source df SS MS Group 17.48 17.48 Error 570.40 Total The value of the one-way ANOVA F test statistic is F = 1 . 90. What is df E ? (A) 17 (B) 62 (C) 300 (D) 394 (E) 922 5. The response variable values for four different data sets are shown below. Data Set A Group 1 Group 2 20 70 25 75 30 80 Data Set B Group 1 Group 2 24 74 25 75 26 76 Data Set C Group 1 Group 2 40 50 45 55 50 60 Data Set D Group 1 Group 2 44 54 45 55 46 56 Which of these data sets will yield the largest value of the one-way ANOVA F test statistic? Hint: You can answer this question without actually calculating anything. (A) Data Set A (B) Data Set B (C) Data Set C (D) Data Set D 6. In the one-way ANOVA F test, which of the following would lead us to conclude that it’s reasonable that all the population group means are the same? (A) a large p-value (B) a decision to reject H (C) both (A) and (B) (D) neither (A) nor (B) 7. Which of the following do we assume for two-way ANOVA? (A) Each group has the same population standard deviation. (B) Each group has the same sample standard deviation. (C) both (A) and (B) (D) neither (A) nor (B) 8. Two-way ANOVA requires (A) one quantitative explanatory variable. (B) two quantitative explanatory variables. (C) one categorical explanatory variable. (D) two categorical explanatory variables. 9. Suppose we’re studying how a medicine’s maximum concentration in the bloodstream (measured in micrograms per milliliter) is affected by two factors: dosage amount (low or high) and dosage method (pill or liquid). The population means of the different groups are shown below....
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prac2_a - STA 3024 Exam 2 Sample Questions 1 One-way ANOVA...

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