Research suggests that stress impacts health. A researcher examined the number of sickness symptoms people contracted based on their sleep over a six-month period. Participants were assigned to one of three sleep groups (4-hours, 6-hours, 8-hours) and then each participant reported the number of days they had any symptoms of sickness (e.g., cough, fever, runny nose, sore throat, etc.) over the six-month period. The numbers below are the number of symptoms for each person in the sleep groups. Use the data below to determine whether sleep has any influence on health. Test with = .05. 8-hours 6-hours 4-hours 1 34 2 46 3 67 1 43 3 35 Is a test for homogeneity of variance needed? If so, calculate and evaluate. Perform ANOVA test on the means