Rehab, Inc. is evaluating patient success results for its Northbrook and Southbrook locations. Each successfully treated 10 patients within the last year following elbow surgery. Total recovery times and % range of motion achieved are listed in Table 4E.6.

a. Build a 95% two-sided confidence interval for the differences of the average of the recovery times. Is there evidence to support that the facilities are different?
b. Build a 95% two-sided confidence interval for the ratio of the variance of recovery times. Is there evidence to support that the facilities are different?
c. Build a 95% two-sided confidence interval for the differences on the percentage of motion restored. Is there evidence to support that the facilities are different?

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Northbrook (1) Southbrook (2) Recovery Time | % ROM Achieved | Recovery Time | % ROM Achieved 148.81 188.72 186.77 152.72 197.8 162.78 192.18 200.17 181.32 193.03 0.69 0.89 0.65 0.73 0.79 0.81 0.64 0.88 0.67 0.74 135.25 174.99 144.15 161.81 151.35 149.69 136.17 146.25 162.88 183.95 0.98 0.47 0.85 0.71 0.94 0.56 0.57 0.2 0.84 0.62