statistics

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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 30 randomly selected restaurants with the single line. In addition, they randomly select 30 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. 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 0.0 5 level of significance.
Single Line Multiple Lines
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

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