1. What are the assumptions of between-subjects analysis of variance? 2. Why not just compute t-tests among all pairs of means instead computing an analysis of variance? 3. How is it that estimates of variance is can be used to test a hypothesis about means? 4. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe? 5. The following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Compute the analysis of variance summary table. 30 minutes 60 minutes 12 year olds 16 year olds 66 68 59 72 46 74 71 67 82 76 69 61 69 73 61 95 92 95 98 94 1. Write one assumption. 2. Write another assumption. 3. Write a third assumption. 4. Write a fourth assumption. 5. Write the final assumption. 6. State the null hypothesis for a one-way ANOVA test if there are four groups. 7. State the alternative hypothesis for a one-way ANOVA test if there are three groups. 8. When do you use an ANOVA test? Use the following information to answer the next eight exercises. Groups of men from three different areas of the country are to be tested for mean weight. The entries in the table are the weights for the different groups. The one-way ANOVA results are shown in Group 1 Group 2 Group 3 216 202 170 213 165 284 182 228 197 210 201 198 240 187 176 9. What is the Sum of Squares Factor? 10. What is the Sum of Squares Error? 11. What is the df for the numerator? 12. What is the df for the denominator? 13. What is the Mean Square Factor? 14. What is the Mean Square Error? 15. What is the F statistic