partial credit if you answer is incorrect. Part II. Multiple Choice Question. Only one option is correct. You do not need to show your work to get the full credit. However, if you do show your work, you might get 1. Suppose 200 cycles of abrasion are applied to less treated using 2 methods. 1 Hind Hy be the true mean haze measurements for the first and the second methods, respectively Suppose that 11.29 and 1.39. The suminary statistics for the first method are i8, 14.09, and be summary statistics for the second method area - 7. = 11.99. What is the 90% CI for -- (A) (1.132, 2.136) (B) (0.651.4.943 (C) (0.956, 3.244) (D) (2.765, 3.675) VS 2. A researcher wants to use the CI found in 1. to perform the following hypothesis test: HC=0 HCO at 0.05. Choose the correct statement: (A) Ho should be retained because zero is not in the CI. (B) Ho should be rejected because sero is not in the CI. (C) Ho should be retained because both the lower bound and the upper bound are positive. (D) The CI cannot be used to perform the specified hypothesis test. 3. In a one-way random effects model, the null hypothesis of the F-test was rejected, and, as a part of further analysis, it was estimated that 100% = 35%. Choose the correct interpretation of these results, (A) There is NO statistically significant heterogeneity in the treatments, and only 35% of variation in the response variable is explained by the differences in treatments. (B) There is NO statistically significant heterogeneity in the treatments, but 100%-35% = 65% of variation in the response variable is explained by the differences in treatments. (C) There is statistically significant heterogeneity in the treatments, but only 35% of variation in the response variable is explained by the differences in treatments. (D) There is statistically significant heterogeneity in the treatments, and 100%-35% = 65% of variation in the response variable is explained by the differences in treatments. 4. In a two-way ANOVA model with no replications (Ky = 1), there are 1 = 7 levels of the first factor (A), and J = 3 levels of the second factor (B). What is the rejection region for the F-test: Ho: a1 = ... = ay = 0 Vs. H: "Ho is false at a=0.01. (A) {F $ 3.885) (C) {F $ 2.996) (B) {F23.885) (D) {F > 2.996) partial credit if you answer is incorrect. Part II. Multiple Choice Question. Only one option is correct. You do not need to show your work to get the full credit. However, if you do show your work, you might get 1. Suppose 200 cycles of abrasion are applied to less treated using 2 methods. 1 Hind Hy be the true mean haze measurements for the first and the second methods, respectively Suppose that 11.29 and 1.39. The suminary statistics for the first method are i8, 14.09, and be summary statistics for the second method area - 7. = 11.99. What is the 90% CI for -- (A) (1.132, 2.136) (B) (0.651.4.943 (C) (0.956, 3.244) (D) (2.765, 3.675) VS 2. A researcher wants to use the CI found in 1. to perform the following hypothesis test: HC=0 HCO at 0.05. Choose the correct statement: (A) Ho should be retained because zero is not in the CI. (B) Ho should be rejected because sero is not in the CI. (C) Ho should be retained because both the lower bound and the upper bound are positive. (D) The CI cannot be used to perform the specified hypothesis test. 3. In a one-way random effects model, the null hypothesis of the F-test was rejected, and, as a part of further analysis, it was estimated that 100% = 35%. Choose the correct interpretation of these results, (A) There is NO statistically significant heterogeneity in the treatments, and only 35% of variation in the response variable is explained by the differences in treatments. (B) There is NO statistically significant heterogeneity in the treatments, but 100%-35% = 65% of variation in the response variable is explained by the differences in treatments. (C) There is statistically significant heterogeneity in the treatments, but only 35% of variation in the response variable is explained by the differences in treatments. (D) There is statistically significant heterogeneity in the treatments, and 100%-35% = 65% of variation in the response variable is explained by the differences in treatments. 4. In a two-way ANOVA model with no replications (Ky = 1), there are 1 = 7 levels of the first factor (A), and J = 3 levels of the second factor (B). What is the rejection region for the F-test: Ho: a1 = ... = ay = 0 Vs. H: "Ho is false at a=0.01. (A) {F $ 3.885) (C) {F $ 2.996) (B) {F23.885) (D) {F > 2.996)
