Question

chapter 3 - 3 pt 2
question 1, 3.3.2
hw score: 6.67%, 1 of 15 points
points: 0 of 1
the boxplots shown below represent customer waiting times (minutes) for two different waiting lines. which line would you prefer, or does it not make a difference? explain.
click the icon to view the boxplots.
the waiting line represented by the boxplot is better because the times have
boxplots of customer waiting times

Explanation:

Step1: Analyze the boxplots

A boxplot shows the distribution of data. A better - waiting line would have less variability (more consistent waiting times).

Step2: Compare the ranges

For the first boxplot: The range is \(33 - 23=10\). For the second boxplot: The range is \(31 - 25 = 6\). Also, looking at the inter - quartile range (IQR, the length of the box). For the first boxplot, \(IQR_1=31 - 25 = 6\). For the second boxplot, \(IQR_2=30 - 26=4\).

Answer:

The waiting line represented by the lower boxplot is better because the times have less variation so customers are more likely to have a more consistent waiting time.