Question

Data about salaries showed that staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune, Jan 15, 2007). You are a manager at a Tampa hospital and want to test the claim of the Tribune. You conduct a follow up survey of a random sample of 25 staff nurses in Tampa and a random sample of 28 staff nurses in Dallas. You find that the sample from Tampa showed an average salary of $52000 with a standard deviation of $8500, and the sample from Dallas showed an average salary of $56500 with a standard deviation of $4650. Is this evidence, at the 5% level of significance, that the Tampa Tribune article is correct? Conduct a complete hypothesis test. Show all your work, including formulas

(Assume both populations are normally distributed. Also, you have no reason to believe the variances of the two populations are equal.)

Answer 1