Experience has shown that the weight of lemons produced by an orchard is normally distributed, with an average weight (µ) of 50g and a standard deviation (σ) of 8.50g. A sample of 115 of these oranges...

Experience has shown that the weight of lemons produced by an orchard is
normally distributed, with an average weight (µ) of 50g and a standard
deviation (σ) of 8.50g. A sample of 115 of these oranges is randomly selected.


Question:  What is the probability that the mean weight of the lemons in the
sample lies between 49g and 50.50g? Interpret your answer.