Question 75539: The Director of Emergency Medicine at Big Mountain Medical Services is studying patient waiting time. Waiting time is defined as the time from when a patient enters the facility until seen by a physician. The study indicates the waiting time follows a normal distribution with a mean of 22 minutes and a standard deviation of 8 minutes.
a. What fraction of the patients is seen in between 15 and 22 minutes?
b. What fraction is seen in less than 15 minutes?
c. What fraction is seen in more than 15 minutes but less than 32 minutes?
d. What fraction is seen in more than 25 minutes but less than 32 minutes?
e. Five percent of the patients are seen in how many minutes or less? That is, how quickly are 5 percent of the patients seen?
Thank You
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Director of Emergency Medicine at Big Mountain Medical Services is studying patient waiting time. Waiting time is defined as the time from when a patient enters the facility until seen by a physician. The study indicates the waiting time follows a normal distribution with a mean of 22 minutes and a standard deviation of 8 minutes.
a. What fraction of the patients is seen in between 15 and 22 minutes?
P(15<=x<=18)= normalcdf(15,18,22,8)=0.1178
Using TI calculator
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b. What fraction is seen in less than 15 minutes?
= normalcdf(0,15,22,8)
=0.1878
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c. What fraction is seen in more than 15 minutes but less than 32 minutes?
= normalcdf(15,32,22,8)= "can you get this?"
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d. What fraction is seen in more than 25 minutes but less than 32 minutes?
same procedure
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e. Five percent of the patients are seen in how many minutes or less? That is, how quickly are 5 percent of the patients seen?
InvNorm(0.05,22,8) = 8.84
Rounding down to whole patients you get 8 patients
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Cheers,
Stan H.
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