The union for a particular industry has determined that thestandard deviationof the daily wages of its workers is$

25

.Arandom sampleof70

workers in this industry has ameandaily wage of$

114

.Find a99

%

confidence intervalfor the truemeandaily wage of all union workers in the industry. Then give its lower limit and upper limit.

Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult alist of formulas.)