Find out the probability for the sample mean under the Normal distribution.
The diameters of oranges in a certain orchard are normally distributed with the mean of 5.26 inches and a standard deviation of 0.50 inches.
A random sample of 100 oranges is gathered and the mean diameter obtained was 5.12. If another sample of 100 is taken, what is the possibility that its sample mean will be greater than 5.12 inches?