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Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is...

Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the two new systems have been installed result in the following summary of the data. SYSTEM A: n1=120 xbar1=4.1 sigma1=2.2 SYSTEM 2: n2=100 xbar2=3.4 sigma2=1.5 (1) Test at the .05 level of significance to determine whether the population mean of the system B is lower than 3.5 mins. Use both p-value approach and critical value approach. (2) Test at the .05 level of significance to determine whether the population mean of the system A differs from 4 mins. Use both p-value approach and critical value approach. (3) Test at the .05 level of significance to determine whether the population mean checkout times of the two systems differ.

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