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3. A new hip replacement procedure is being evaluated at a big research hospital. This new...

3. A new hip replacement procedure is being evaluated at a big research hospital. This new procedure is less expensive; however, it might lead to a longer recovery time. A study was conducted to compare this new procedure with the current procedure. A randomly sample of 15 patients were operated on with the current procedure, and another sample of 12 patients were operated with the new procedure. The average and standard deviation of the recovery time for the sample that was treated with the current procedure are 35 days and 7.5 days, respectively. The average and standard deviation for the recovery time for the sample that was operated with the new procedure 39 days and 6.2 days, respectively. Is there enough evidence to conclude that, on average, patients who undergo a hip replacement using the new procedure need more time to recover? Test at α = 0.01. Use the critical value/rejection point method.

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