A database contains information on the wait times patients have reported in the emergency room to see a physician since the hospital opened 5 years ago. Suppose the wait times vary according to a normal distribution with mean wait time of 1.9 hours and a standard deviation of 0.7 hours. Based on a simple random sample of 23 patients at the hospital in the waiting room, what is the probability that they will have to wait for more than 2.5 hours?
.Solution :
_{} = / n = 0.7 / 23
P(that they will have to wait for more than 2.5 hours) ,
P( > 2.5) = 1 - P( < 2.5)
= 1 - P[( - _{} ) / _{} < (2.5 - 1.9) / 0.7 / 23 ]
= 1 - P(z < 4.11)
= 1 - 1
= 0
Probability = 0
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