Question 1021692
It is the usual normal distribution problem, but the r.v. X is the sample mean.

{{{P(X>=29) = P((X - 27.6)/(4.9/sqrt(35)) >= (29-27.6)/(4.9/sqrt(35)) = 0.169)}}}

==> {{{P(X>=29) = P(Z>=0.169)}}}

Now use your usual standard normal distribution table and scientific calculator to find the probability.