Question

In: Statistics and Probability

Times for a surgical procedure are normally distributed. There are two methods. Method A has a...

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 4 minutes, while Method B has a mean of 39 minutes and a standard deviation of 20 minutes.

(a) Which procedure is preferred if the procedure must be completed within 35 minutes? Method A, Method B, or Either?

(b) Which procedure is preferred if the procedure must be completed within 45.0 minutes? Method A, Method B, or Either?

(c) Which procedure is preferred if the procedure must be completed within 43 minutes? Method A, Method B, or Either?

Solutions

Expert Solution

Answer:-

Since , chance ( probability value) of surgical procedure completion by Method A is more than by Method B. Hence, we prefer Method A in all the three cases (a), (b) & (c).


Related Solutions

Times for a surgical procedure are normally distributed. There are two methods. Method A has a...
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 25 minutes and a standard deviation of 6 minutes, while method B has a mean of 29 minutes and a standard deviation of 3.0 minutes. (a) Which procedure is preferred if the procedure must be completed within 25 minutes? Method A Method B Either Method (b) Which procedure is preferred if the procedure must be completed within 35.0 minutes? Method A Method...
Item19 Item19 Item 19 Times for a surgical procedure are normally distributed. There are two methods....
Item19 Item19 Item 19 Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 31 minutes and a standard deviation of 2 minutes, while method B has a mean of 35 minutes and a standard deviation of 1.0 minutes. (a) Which procedure is preferred if the procedure must be completed within 30 minutes? Method A Method B Either Method (b) Which procedure is preferred if the procedure must be completed within 38.0...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.6 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.3 days to recover? d. What is...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.4 days to recover? d. What is...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 1.8 days. What is the 85th percentile for recovery times? (Round your answer to two decimal places.)
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median recovery time?  days c. What is the Z-score for a patient that took 4.1 days to recover? d. What is the...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days. Sketch a graph of the distribution indicating the mean and +/- 3 standard deviation with vertical lines. What is the probability of a recovery taking longer than 7 days? P(4.75 days < x < 6.25 days) = ? P(x < 2 days) = ? What is the expected recovery time for the first quartile of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.6 days and a standard deviation of 1.8 days. What is the probability of spending more than 4 days in recovery? (Round your answer to four decimal places.) I have been stuck on this question for an hour.
The patient recovery time from a particular surgical procedure is normally distributed with a mean of...
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.5 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median recovery time? days c. What is the Z-score for a patient that took 4.8 days to recover? d. What is...
An experimental surgical procedure is being studied as an alternative to the old method. Both methods...
An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe. Five surgeons perform the operation on two patients matched by age, sex, and other relevant factors, with the results shown. The time to complete the surgery (in minutes) is recorded. Surgeon 1 Surgeon 2 Surgeon 3 Surgeon 4 Surgeon 5 Old way 39 59 33 43 56 New way 28 38 20 37 49 (a-1) Calculate the difference between the new...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT