Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.4 feet and a standard deviation of 0.3 feet. A sample of 34 men’s step lengths is taken. Find the...

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.4 feet and a standard deviation of 0.3 feet.

A sample of 34 men’s step lengths is taken.

Find the probability that the mean of the sample taken is more than 2.5 feet. Round to 3 decimal places.