Question

Emergency Room Traffic. Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traftic. Those records reveal that the times between arriving patients have a mean of $8.7$ minutes with a standard deviation of $8.7$ minutes. Based solely on the values of these two parameters, explain why it is unreasonable to assume that the times between arriving patients is normally distributed or even approximately so.

Short answer

The variable under consideration is not an approximately normal distribution.

Step-by-step solution

Given Information

Given in the question that,

Mean $=8.7$minutes. ,

Standard deviation, $=8.7$minutes.

Explanation

The variable under consideration has the same mean and standard deviation values as the data. As a result, it is illogical to assume that the variable in question is normally distributed.

In fact, the intervals between patients' arrivals resemble an exponential distribution.

As a result, the variable in question does not have an essentially normal distribution.