1. The purpose of a study by Sakakibara and Hayano was to examine the effect of voluntarily slowed respiration on the cardiac parasympathetic response to a threat (the anticipation of an electric shock). Subjects were 30 healthy college students whose mean age was 23 years with a standard deviation of 1.5 years. An equal number of subjects were randomly assigned to slow (six males, four females), fast (seven males, three females), and non-paced (five males, five females) breathing groups. Subjects in the slow- and fast-paced breathing groups regulated their breathing rate to 8 and 30 cpm, respectively. The non-paced group breathed spontaneously. The following are the subjects' scores on the State Anxiety Score of State-Trait Anxiety Inventory after baseline and period of threat. The data is given in the slow_resp.xls file. What is the effect of voluntarily slowed respiration on the cardiac parasympathetic response to a threat? Complete a hypothesis test for this research question using the following steps: 1. State the Null and Alternate Hypotheses 2. Identify the appropriate ANOVA 3. Use STATA to get an ANOVA table 4. Identify the correct test statistic 5. Identify the sampling distribution if the null hypotheses is true 6. Provide the p-value 7. State the assumptions of your ANOVA model 8. Provide appropriate graphs to assess the assumptions 9. Calculate the confidence intervals for the group estimates by hand 10. State your conclusion in words Group 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 Baseline Threat 39 59 44 47 48 51 50 61 34 48 54 69 34 43 38 52 44 48 39 65 37 49 40 42 39 48 47 57 45 49 43 44 32 45 27 54 44 44 41 61 36 51 34 71 50 37 49 53 38 52 39 56 66 67 39 49 45 65 42 57