Assignment:
A supermarket manager is examining whether a new plastic bagging configuration in the produce area might make it more efficient for customers who are bagging their own fruits and vegetables. She observes a sample of customers using the new system and a sample of customers using the standard system, and she notes how many seconds it took each of them to unroll and open the plastic bag in preparation for bagging the veggies. The data are in file XR11098. Considering these as data from independent samples, use the 0.025 level of significance in examining whether the population mean for the new bagging system might be less than that for the conventional system. Identify and interpret the p-value for the test.
Provide complete and step by step solution for the question and show calculations and use formulas.