Question

waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. find the mean and median for each of the two samples, then compare the two sets of results.
single line: 6.5 6.6 6.7 6.8 7.0 7.2 7.5 7.6 7.6 7.6
individual lines: 4.3 5.3 5.8 6.2 6.6 7.6 7.6 8.6 9.3 9.8
(type an integer or decimal rounded to two decimal places as needed.)
the median waiting time for customers in a single line is 7.1 minutes.
(type an integer or decimal rounded to two decimal places as needed.)
the mean waiting time for customers in individual lines is 7.11 minutes.
(type an integer or decimal rounded to two decimal places as needed.)
the median waiting time for customers in individual lines is 7.1 minutes.
(type an integer or decimal rounded to two decimal places as needed.)
determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. if so, what is it?
a. the times for customers in individual lines are much more varied than the times for customers in a single line.
b. the times for customers in a single line are much more varied than the times for customers in individual lines.
c. there is no difference between the two data sets.

Explanation:

Step1: Analyze data spread

By observing the data, the single - line waiting - time values are more clustered together (ranging from 6.5 to 7.6), while the individual - line waiting - time values have a wider range (from 4.3 to 9.8).

Answer:

A. The times for customers in individual lines are much more varied than the times for customers in a single line.