A union of restaurant and food service workers would like to estimate the mean hourly wage, μ, of food service workers in the U.S. The union will choose a random sample of wages and then estimate μ using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of μ? Suppose that the standard deviation of wages of food service workers in the U.S. is about $2.15. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number

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