Question

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?

Answer 1

.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