Question 924525
mean = 180lb with a standard deviation = 29lb.  {{{z =blue (x - 180)/blue(29/sqrt(36))}}}
xbar = 600/36 = 183.3333lb
Using the z-value to determine the Probability:
P(xbar > 183.33) = P( z > 3.3333/4.8333) = P(z > .6896) 
 Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(z > .6896) = normalcdf(.6896, 100) = .2452  0r 24.52%
or
P(z > .6896)= 1 - P(z<.6896) = 1 - .7548 = .2452