MacDonald’s executives want to experiment with redesigning its restaurants so that the ...

  

MacDonald’s executives want to experiment with redesigning its restaurants so that the customers form one line leading to four registers, rather than four lines leading to four separate registers. They redesign randomly selected restaurants with the single line. In addition, they randomly select restaurants with the four lines configuration to participate in the study. At each restaurant, an employee monitors the waiting time (in minutes) of randomly selected patrons. Use the data below to test if the mean wait time in the multiple lines is less than the mean wait time in the single line at the 0.05 level of significance. Show all details of your work carefully. You can assume the two populations have the same standard deviation.

  

Multiple   Line

Single   Line

 

1.2

2.1

1.7

2.8

1.1

1.6

2.9

4.6

 

1.9

2.1

2.4

3.0

3.8

2.9

2.8

2.9

 

2.1

2.3

1.9

2.9

4.3

2.3

2.0

2.6

 

2.7

2.0

2.9

2.3

1.3

1.3

2.0

2.7

 

2.8

1.1

3.1

1.8

2.0

3.2

2.3

0.9