4 Chapter Exercise 10. Complete each of the following ANOVA summary tables. In addition, answer the following questions for each of the ANOVA summary tables: a. What is the factorial notation? b. How many conditions were in the study? c. How many students were in the study? d. Identify significant main effects and interaction effects. Source df SS A 1 60 B 2 40 AxB 2 90 Error: 30 Total: 35 390 df SS A 2 40 B 3 60 AxB 6 150 Error: 72 150 Total: 83 400 MS F MS F a.) b.) c.) d.) Source a.) b.) c.) d.) Source df SS A 1 10 B 1 60 AxB 1 20 Error: 36 60 Total: 39 MS F 150 a.) b.) c.) d.) 12. A researcher is attempting to determine the effects of practice and gender on a timed task. Participants in an experiment are given a computerized search task. They search a computer screen of various characters and attempt to find a particular character on each trial. When they find the designated character, they press a button to stop a timer. Their reaction time in seconds on each trial is recorded. Subjects practice for 2, 4, or 6 hours and are either female or male. The reaction time data for the 30 subjects appear here. Women 12 13 11 12 11 11 10 8 10 8 10 10 8 10 7 9 7 5 5 6 7 8 6 5 7 6 Hours 11 12 4 Hours 12 13 2 Hours Men 8 ANOVA table Source df SS Gender 0.027 Practice 140.60 Gender x Practice 0.073 Error: 28 Total: 168.70 MS F a. Complete the ANOVA summary table. Calculate the sums of squares, use the preceding data to do so. b. Are the values of assets of F obt significant at infinity at = .05? At = .01? c. What conclusions can be drawn from the F-ratios? d. What is the effect size, and what does this mean? e. Graph the means. Part II. 2. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6 months. The mean number of cavities at their next checkup is 1.5. In general population, the mean number of cavities is 1.73 (o = 1.12). a. Is this a one-tailed or two tailed test? b. What are Ho and Ha for this study? c. Compute zobt* d. What is zcv? e. Should Ho be rejected? What should the researcher conclude? f. Determine the 95% confidence interval for the population mean, based on the sample mean. 4. Henry performed a two-tailed test for an experiment in which N=24. He could not find his table of t critical values, but he remembered the tcv at df=13. He decided to compare his tobt with this tcv. Is he more likely to make a Type I or a Type II error in this situation? 6. A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, =58.A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52, 59, 63, 65, 58, 55, 62, 63, 53, 59, 61, 60, and 59. a) Is this a one-or two - tailed test? b) What are H0 and Ha for this study? c) Compute t obt. d) What is t cv? e) Should H0 be rejected? What should the researcher conclude? f) Determine the 95% confidence interval for the population mean, based on the sample mean. 8. A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers a random sample of 120 individuals who live in the California and finds that the number who exercise regularly is 31 out of 120. a. What is X2obt? b. What is df for this test? c. What is X2obt? d. What conclusion should be drawn from these results