p-value

A certain company's executives want to experiment with redesigning its restaurants so that the customers form one line leading to four registers to place orders, rather than four lines leading to four separate registers. They redesign 20 randomly selected restaurants with the single line. In addition, they randomly select 20 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. The data are shown in the accompanying table. Note that normal probability plots indicate that the data are normally distributed. Complete parts (a) and (b). fa Click the icon to view the data table. (a) Is the variability in wait time in the single line less than that for the multiple lines at the a= 0.05 level of significance? Use the P-value approach to perform the test. Let o, represent the population standard deviation for the wait time in the single line and o,, represent the population standard deviation for the wait time in the multiple lines. State the null and alternative hypotheses for this test. Hg: Gy = Gp Wait Times Hy: GG,