A union of restaurant and food service workers would like to estimate the mean hourly wage, u, of of foodservice workers in the US. The union will choose a random sample of wages and then estimate u using the mean of the sample. What is the minimum sample needed in order for the union to be 95% confident that it's estimate is within $0.40 of u? Suppose that the standard deviation of wages of food service workers in the US is about $2.20.

Carry your intermediate computations to at least 3 decimal places. Round your answer to a whole number