work for a network of two medical centers that offer joint-replacement procedures. Medical center A serves a population of affluent and highly educated patients with few chronic conditions on average. It employs surgeons who were trained at top-ranked medical schools and have many years of experience. Medical center B serves a population of low-income patients with little education and many chronic conditions. It employs surgeons who are recent graduates of middling medical schools. While medical center B continued to use only conventional implants, two years ago medical center A began offering ceramic implants as an alternative to conventional implants to its joint-replacement patients. The choice of implant was completely voluntary and left to the discretion of the surgeon and the consent of the patient. After one year, the medical center compared the length of stay, measured in days, of patients who received a ceramic implant (coded as 1 in the predictor variable Ceramic) to the length of stay among patients who received a conventional implant (coded as 0 in the predictor variable Ceramic). After drawing a small random sample of the patients who received a joint
You work for a network of two medical centers that offer joint-replacement procedures. Medical center A serves a population of affluent and highly educated patients with few chronic conditions on average. It employs surgeons who were trained at top-ranked medical schools and have many years of experience. Medical center B serves a population of low-income patients with little education and many chronic conditions. It employs surgeons who are recent graduates of middling medical schools.
While medical center B continued to use only conventional implants, two years ago medical center A began offering ceramic implants as an alternative to conventional implants to its joint-replacement patients. The choice of implant was completely voluntary and left to the discretion of the surgeon and the consent of the patient. After one year, the medical center compared the length of stay, measured in days, of patients who received a ceramic implant (coded as 1 in the predictor variable Ceramic) to the length of stay among patients who received a conventional implant (coded as 0 in the predictor variable Ceramic). After drawing a small random sample of the patients who received a joint replacement at medical center A, the medical center ran the following regression model:
Length of Stay Intercept Ceramic
Coefficients
4.34 -0.81
Standard Error
0.25 0.26
t Stat P-value
17.35 0.00 -3.07 0.00
Lower 95%
3.85 -1.33
Upper 95%
4.83 -0.29
5.a.
Compute the predicted length of stay if 60% of patients receive a ceramic implant.
5.b.
Compute the change in predicted length of stay when the percentage of patients receiving a ceramic implant increases from 60% to 100%.
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