The weight of grapefruits produced by an orchard is normally distributed, with a mean weight (μ) of 450g and a standard deviation of 50g. We randomly select a sample of 120 grapefruits from the...

The weight of grapefruits produced by an orchard is normally distributed, with a mean weight (μ) of 450g and a standard deviation of 50g. We randomly select a sample of 120 grapefruits from the orchard.

Q.3.1.1 Compute the standard error.
Q.3.1.2 What is the probability that the average weight of the grapefruits in the
sample will lie between 445g and 460g? Interpret your answer.