Suppose the average wait time at a local Urgent Care facility is 30 min with a s

Question

Suppose the average wait time at a local Urgent Care facility is 30 min with a standard deviation of 12 min. After sitting in the waiting room for 45 minutes, a patient begins to complain. Is this patient's wait time unusual? O Yes, because 45 minutes is more than two standard deviations above the mean. No, because 45 minutes is less than two standard deviations below the mean. O Yes, because 45 minutes is more than two standard deviations below the mean. O Yes, because 45 minutes is less than two standard deviations above the mean. O No, because 45 minutes is less than two standard deviations above the mean.

Explanation / Answer

P(X > 45)

= P(z > (45 - 30)/12)

= P(z > 1.25)

= 0.1056

Hence,

This time is not unusual because it is less than 2 standard deviations above the mean.

Option E is correct.

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