A union of restaurant and foodservice workers would like to estimate the mean hourly wage,

, of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate

using the mean of the sample. What is the minimum sample size needed in order for the union to be95

%

confident that its estimate is within$

0.40

of

? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about$

2.25

.

Carry your intermediate computations to at least three decimal places. answer as awhole number(and make sure that it is the minimum whole number that satisfies the requirements).

(If necessary, consult alist of formulas.)