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# An article in Knee Surgery Sports Traumatology,

ISBN: 9781118539712 55

## Solution for problem 69E Chapter 5.4

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition

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Problem 69E

An article in Knee Surgery Sports Traumatology, Arthroscopy [“Effect of Provider Volume on Resource Utilization for Surgical Procedures” (2005, Vol. 13, pp. 273–279)] showed a mean time of 129 minutes and a standard deviation of 14 minutes for ACL reconstruction surgery for high-volume hospitals (with more than 300 such surgeries per year). If a high-volume hospital needs to schedule 10 surgeries, what are the mean and variance of the total time to complete these surgeries? Assume that the times of the surgeries are independent and normally distributed.

Step-by-Step Solution:

Step 1 of 2:

Our goal is:

We need to find the mean and variance of the total time to complete these surgeries.

Let  denote the 10 surgeries time.

The total time taken for 10 surgeries is also a random variable,

T =   .

We know that the mean and the variance of one surgery.

E(X) = 129 and

V(X) = 14

V(X) = 196

Now the mean of all 10 surgery is E(T).

All surgeries are independent of each other that’s why  .

E(T)...

Step 2 of 3

Step 3 of 3

##### ISBN: 9781118539712

This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. Since the solution to 69E from 5.4 chapter was answered, more than 504 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 69E from chapter: 5.4 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. This full solution covers the following key subjects: surgeries, Volume, minutes, surgery, mean. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. The answer to “An article in Knee Surgery Sports Traumatology, Arthroscopy [“Effect of Provider Volume on Resource Utilization for Surgical Procedures” (2005, Vol. 13, pp. 273–279)] showed a mean time of 129 minutes and a standard deviation of 14 minutes for ACL reconstruction surgery for high-volume hospitals (with more than 300 such surgeries per year). If a high-volume hospital needs to schedule 10 surgeries, what are the mean and variance of the total time to complete these surgeries? Assume that the times of the surgeries are independent and normally distributed.” is broken down into a number of easy to follow steps, and 87 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712.

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