TESTING HYPOTHESES FOR DIFFERENCES BETWEEN TWO MEANS OR PROPORTIONS 5.44 A consulting firm wants to decide at the 5% level of significance if the salaries of construction workers differ between New York and Chicago. A random sample of 100 construction workers in New York has an average weekly salary of $400 with a standard deviation of $100. In Chicago, a random sample of 75 workers has an average weekly salary of $375 with a standard deviation of $80. Is there a significant difference between the salaries of construction workers in New York and Chicago at (a) The 5% level? (b) The 10% level? Ans. (a) No (b) Yes

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