Question

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 line configuration to participate in the study. At each restaurant, an employee monitors the wait time (in minutes) of randomly selected patrons.

a) Use the data below to test if the standard deviation for the wait time in the single line is less than the standard deviation of wait time in the multiple lines at the 0.05 level of significance.

Single Line 1.2 21 1.7 2.8 1.9 21 2.43.0 2.1 2.3 .92.9 2.7 2.0 2.9 2.3 2.8 1.13.1 1.8 Multiple Lines 1.11.6 2.9 4.6 3.8 2.9 2.8 2.9 4.3 2.3 2.0 2.6 1.31.3 2.0 2.7 2.0 3.2 2.3 0.9

b) Next test the equality of the mean wait time or the two different methods of providing service to determine if the average wait time is less for the multiple line method. Use the 0.05 level of significance.

c) Write a conclusion about the answers for questions a) and b).

Answer 1

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