1. Each year billions of dollars are lost because of worker injuries on the job. Costs can be decreased if injured workers can be rehabilitated quickly. As part of an analysis of the amount of time taken for workers to return to work, a sample of male blue-collar workers aged 35 to 45 who suffered a common wrist fracture was taken. The researchers believed that the mental and physical condition of the individual affects recovery time. Each man was given a questionnaire to complete, which measured whether he tended to be optimistic or pessimistic. Their physical condition was also evaluated and categorized as very physically fit, average, or in poor condition. The number of days until the wrist returned to full function was measured for each individual. These data were recorded in the following way: Column 1: Time to recover for optimist (rows 1-10 very fit, rows 11-20 in average condition, rows 21-30 = poor condition Column 2: Time to recover for pessimists (same formats as column 1) What are the factors in this experiment? What are the levels of each factors? b. Can we conclude that pessimists and optimists differ in their recovery time? C. Can we conclude that physical condition affects recovery time? Condition Very fit Very Optimist Pessimist 26 28 fit 30 37 Very fit 37 31 Very fit 23 38 Very fit 32 45 Very fit 30 18 Very fit 28 28 Very fit Very fit 25 40 Count 10 10 20 Very fit 28 24 Sum 286 328 614 Very fit 27 39 Average 34 37 Average Variance 28.6 32.8 30.7 15.6 69.95555556 45.16842105 Average 18 36 Average 39 29 Average Average 33 42 Count 10 10 20 Average 29 32 Average 40 30 Average 41 31 Sum Average Variance 329 32.9 346 34.6 675 33.75 47.65555556 23.15555556 34.30263158 Average 34 41 Average 34 Average 27 Poor 48 Poor 43 Poor 32 Poor 45 Poor 40 Poor 57 Poor 43 Poor 40 Poor 35 Poor 42 888843 44 4 Poor 30 Count 10 10 20 56 41 Sum Average Variance 425 466 891 42.5 46.6 44.55 47.38888889 55.82222222 53.31315789 61 35 Total 47 Count 44 47 46 Sum Average Variance 30 1040 34.66666667 30 1140 38 69.26436782 85.03448276 ANOVA Source of Variation Sample Columns SS 2118.433333 166.6666667 df 2 MS 1059.217 F P-value F crit 1 166.667 24.483 3.852 0.000000027 3.168 0.054834856 4.020 Interaction 20.03333333 2 10.017 0.232 0.794102472 3.168 Within 2336.2 54 43.263 Total 4641.333333 59