SOLUTION: A random sample of 100 patients taken at a community hospital shows the mean time for a patient to see a physician is 25 minutes with a standard deviation of 6 minutes. a What

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Question 263979: A random sample of 100 patients taken at a community hospital shows the mean time for a patient to see a physician is 25 minutes with a standard deviation of 6 minutes.
a What proportion of patients will be seen by an ER physician in less than 20 minutes?
b What proportion of patients will be seen by an ER physician between 25 and 30 minutes?
Completing in Excel and I want to make sure I am on the right track.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A random sample of 100 patients taken at a community hospital shows the mean time for a patient to see a physician is 25 minutes with a standard deviation of 6 minutes.
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a What proportion of patients will be seen by an ER physician in less than 20 minutes?
z(20) = (20-25)/[6]= -0.83333
P(x< 20) = P(z < -0.83333) = 0.2023..
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b What proportion of patients will be seen by an ER physician between 25 and 30 minutes?
z(25) = 0
z(30) = 0.8333
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P(25< x < 30) = P(0< z < 0.83333) = 0.2977..
Cheers,
Stan H.