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? O A. The times for customers in a single line are much more varied than the times for customers in individual lines. O B. The times for customers in individual lines are much more varied than the times for customers in a single line. O C. There is no difference between the two data sets

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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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
6.4
6.6
6.7
6.8
7.1
7.2
Individual Lines
7.5
7.8
7.8
7.8
4.2
5.2
5.9
6.2
6.5
7.8
7.8
8.6
9.5
10.0
The mean waiting time for customers in a single line is 7.17 minutes.
The median waiting time for customers in a single line is 7.15 minutes.
The mean waiting time for customers in individual lines is 7.17 minutes.
The median waiting time for customers in individual lines is 7.15 minutes.
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?
O A. The times for customers in a single line are much more varied than the times for customers in individual lines.
O B. The times for customers in individual lines are much more varied than the times for customers in a single line.
O C. There is no difference between the two data sets.
Transcribed Image Text: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 6.4 6.6 6.7 6.8 7.1 7.2 Individual Lines 7.5 7.8 7.8 7.8 4.2 5.2 5.9 6.2 6.5 7.8 7.8 8.6 9.5 10.0 The mean waiting time for customers in a single line is 7.17 minutes. The median waiting time for customers in a single line is 7.15 minutes. The mean waiting time for customers in individual lines is 7.17 minutes. The median waiting time for customers in individual lines is 7.15 minutes. 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? O A. The times for customers in a single line are much more varied than the times for customers in individual lines. O B. The times for customers in individual lines are much more varied than the times for customers in a single line. O C. There is no difference between the two data sets.
Expert Solution
Step 1

We can see that ,

Statistics homework question answer, step 1, image 1

Mean and Median of both the Data have same values .

Now we will calculate the standard deviation of both the samples to see the variability.

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