Suppose that physicians in an Intensive Care Unit (ICU) have to make the very di

Question

Suppose that physicians in an Intensive Care Unit (ICU) have to make the very difficult decision on whether to induce a tracheotomy in a patient after a certain amount of time without breathing. Suppose that amount of time varies according to a normal distribution with a mean of 276 seconds and a standard deviation of 21 seconds after the patient in ICU begins to crash. Due to many insurance claims in the past, the administrators at the hospital claim that the physicians must proceed with the tracheotomy after the amount of time corresponding to the lowest 5% of the population passes. At what time must physicians go ahead with the procedure? (1 point) (Example answer ###.##)

Explanation / Answer

Solution:

Given in the question:

mean = 276 seconds

Standard deviation = 21 seconds

Z value corresponds to p=0.05 is = - 1.645

So time can be calculated as

Z = (Xbar-Mean)/SD

-1.645 = (Xbar-276)/21

-34.545 = Xbar - 276

Xbar = 241.455

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