Question

The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 16 per hour. Suppose that a random sample of 100 customers is observed. Find the standard error of the mean wait time (in minutes) of these 100 customers. Please report your answer in 3 decimal places.

Answer 1

0.375

Explanation:

Calculation for the standard error of the mean wait time

First step is to calculate the Mean waiting time

Mean waiting time =60 minutes/16 per hour

Standard deviaiton of mean waiting time =mean=3.75

Last step is to calculate the Standard error of mean wait time using this formula

Standard error of mean wait time=σ/√n

Where,

σ=3.75

n=100

Let plug in formula

Standard error of mean wait time= 3.75/√100

Standard error of mean wait time=3.75/10

Standard error of mean wait time= 0.375

Therefore the standard error of the mean wait time is 0.375