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As part of an analysis of the 2018 holiday sales season, J.Crew collected data from shoppers in stores in two locations - New York

 

As part of an analysis of the 2018 holiday sales season, J.Crew collected data from shoppers in stores in two locations - New York and Los Angeles. A sample of 40 shoppers in New York was collected which yielded an average purchase value of 68 with a standard deviation of 18. A sample of 42 shoppers in Los Angeles was collected which yielded an average purchase value of 58 with a standard deviation of 21. Assuming equal variance between the two cities and using a 95% confidence level (a = 0.05), is there evidence of a difference in the average purchase value between New York and Los Angeles? Justify your conclusion.

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