Probability 2.

(c) The weights of a large population of animals have a mean of 7.3 kg and a standard deviation of 1.9 kg. i. Assuming that the weights are normally distributed, what is the probability that a random selection of 40 animals from that population will have a mean weight between 7.0 kg and 7.4 kg? ii. A researcher stated that the probability you calculated is approximately correct even if the distribution of the weights is not normal. Do you agree? Justify your answer (no marks will be awarded without a justification)