Tatooine is a fictional desert planet that appears inthe Star Wars franchise. It is home tomany settlers, including humans. Let X =the weight of a human inhabitant on Tatooine. You know fromprior research that X is approximately Normallydistributed with population mean (?) 96 kg and population standarddeviation (?) 23.3 kg.

(a) Specify the sampling distribution, including stating what isthe distribution, the sampling mean ?_xbar andstandard deviation ?_xbar for samples of 9humans living on Tatooine.

(b) What is the probability that a randomly selected group of 9humans on Tatooine would have an average weight between 95 and 100kg? Include a picture and probability statement.