MCQ chapter 13 - hay PDF

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1. The critical F value with 8 numerator and 6 denominator degrees of freedom at a = .05 is a. 3.58 b. 4.88 c. 4.15 d. none of the above 2. The ANOVA procedure is a statistical approach for determining whether or not the a. means of two samples are equal b. means of more than two samples are equal c. means of two or more populations are equal d. none of the above 3. The variable of interest in an ANOVA procedure is called a. a factor b. a treatment c. either a or b d. none of the above 4. An ANOVA procedure is applied to data obtained from 5 samples, where each sample contains 9 observations. The degrees of freedom for the critical value of F are a. 5 numerator and 9 denominator degrees of freedom b. 4 numerator and 8 denominator degrees of freedom c. 45 degrees of freedom d. 4 numerator and 40 denominator degrees of freedom 5. In the ANOVA, treatment refers to a. experimental units b. different levels of a factor c. a factor d. none of the above 6. The mean square is the sum of squares divided by a. the total number of observations b. its corresponding degrees of freedom - 1 c. its corresponding degrees of freedom d. none of the above 7. In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as a. the main effect b. interaction c. replication d. none of the above 8. An experimental design where the experimental units are randomly assigned to the treatments is known as a. factor block design b. random factor design c. completely randomized design d. none of the above 9. The number of times each experimental condition is observed in a factorial design is known as a. replication b. the experimental condition c. a factor d. none of the above 10. A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats

to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term treatment is illustrated by a. the change in exam scores b. the class formats c. the different amounts of homework and computer work in the different class formats d. the 12 students assigned to each class format e. the 60 students in the random sample 11. A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term replication is illustrated by a. the change in exam scores b. the class formats c. the different amounts of homework and computer work in the different class formats d. the 12 students assigned to each class format e. the 60 students in the random sample 12. A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term response variable is illustrated by a. the change in exam scores b. the class formats c. the different amounts of homework and computer work in the different class formats d. the 12 students assigned to each class format e. the 60 students in the random sample 13. Which of the following is a required condition for using the completely randomized design analysis of variance? a. The data are obtained from independently selected samples. b. The populations are all normally distributed. c. The populations have the same variance. d. All of the above are necessary conditions. 14. Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds. Location 1234 A 99 73 85 103 Compound B 82 72 85 97 C 81 79 82 86 The factor in this experiment is a. compound b. four c. location d. number of days of traffic usage before additional repair was required

15. Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds. Location 1234 A 99 73 85 103 Compound B 82 72 85 97 C 81 79 82 86 The block in this experiment is a. compound b. four c. location d. number of days of traffic usage before additional repair was required 16. Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds. Location 1234 A 99 73 85 103 Compound B 82 72 85 97 C 81 79 82 86 Using a = .05, the appropriate critical value is a. 4.76 b. 5.14 c. 7.26 d. 9.55 17. Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds. Location 1234 A 99 73 85 103 Compound B 82 72 85 97 C 81 79 82 86 Using a = .05, the decision is a. reject the null hypothesis b. do not reject the null hypothesis 18. A factorial experiment that involved four levels of factor A, five levels of factor B, and three replications would have error degrees of freedom equal to a. 60 b. 24 c. 40 d. 59 19. The F ratio in a completely randomized ANOVA is the ratio of a. MST/MSE c. MSE/MST b. MSE/MSTR d. MSTR/MSE

20. Constructing a mathematical model that can be used to predict one variable by another is called which of the following? a. Hypothesis testing b. Correlation analysis c. Statistical prediction d. Regression 21. A measure of the degree of relatedness between two variables is called which of the following? a. Residual b. Regression c. Correlation d. Confidence 22. What does the Y intercept (b0) represent? a. The predicted value of Y b. The predicted value of Y when X = 0. c. The variation around the line of regression. d. The estimated change in average Y per unit change in X. 23. In linear regression, the variable being predicted is usually called which of the following? a. dependent variable b. explanatory variable c. independent variable d. predictor variable 24. What does the standard error of the estimate measure? a. The variation of the X variable b. The variation around the regression line c. The total variation of the Y variable d. The variation explained by the model 25. What information is provided by the coefficient of determination? a. The proportion of total variation in Y that is explained by X b. Whether r has any significance c. Whether total variation should be partitioned d. The coefficient of correlation is larger than one 26. What do residuals represent? a. The difference between the actual Y values and the predicted Y values b. The predicted value of Y for the average X value c. The difference between the actual Y values and the mean of Y d. The difference between the predicted Y values and the mean of Y 27. Assuming a linear relationship between X and Y, which of the following is true if the coefficient of correlation (r) equals -0.35? a. The slope is negative b. The variance is negative c. Variable X is larger than variable Y d. There is no correlation 28. The width of the confidence interval estimate for the predicted value of Y depends on which of the following? a. Value X for which the prediction is being made b. Sample size c. Standard error of the estimate d. All of the above

29. The width of the confidence interval estimate for the predicted value of Y depends on which of the following? a. Standard error of the estimate b. Sample size c. Value X for which the prediction is being made d. All of the above 30. A 95% confidence interval for b1 is determined to be (15, 30). Interpret the meaning of this interval. a. You can be 95% confident that the average value of Y will increase by between 15 and 30 units for every one unit increase in X. b. You can be 95% confident that the mean value of Y will fall between 15 and 30 units. c. You can be 95% confident that the X value will increase by between 15 and 30 units for every one unit increase in Y. d. At the 5% level of significance, there is no evidence of a linear relationship between X and Y. 31. Which of the following indicates the reason for using least squares as a method for determining the regression coefficients. a. The sum of the errors is simply equal to 0. b. Squaring acts as a penalty for large errors. c. Any other values chosen for b0 and b1 will have a larger sum of squared residuals. d. All of the above. 32. The following data is used to construct a regression model:

Which of the following values indicates the slope? a. 2.5 b. 2.25 c. 3 d. 2 33. The following data is used to construct a regression model: Which of the following values indicates the intercept?

a. 2.5 b. 2 c. 3 d. 2.25 34. The following data is used to construct a regression model: Which of the following values indicates the coefficient of determination?

a. 0.9 b. 0.8 c. 0.95 d. 0.85...