In: Statistics and Probability
Two grocery store checkout systems are being evaluated for adoption by a national supermarket chain. One of the two systems was set up for testing in an Ormond Beach, Florida store while the other was set up in Portland, Oregon. A sample of 120 customers in the Florida store showed a mean checkout time of 4.1 minutes. An independent sample of 100 customers from the Oregon store yielded a mean checkout time of 3.4 minutes. Historical data maintained by the chain headquarters showed a standard deviation of 2.2 minutes for the population of Florida stores and 1.5 minutes for the population of Oregon stores. Test at the 0.05 significance level to determine if there is a difference in the population mean checkout times of these two systems. Use the provided text field to show the following 5-Step hypothesis testing process details.
Ho :
Ha :
α =
Test Statistic:
Rejection decision and reasoning using p-value:
Conclusion (Interpret your rejection decision in the context of the problem):