Weights of many dog breeds are normally distributed. West Highland Terrier (Westie) weights are baiscally distributed with the mean of 16.3 pounds and the standard deviation of 2.1 pounds. For each and every question below, describe your work, answer the question, clearly label graph, and shade in the area which represents the percentage.
a. Determine the range for central 95% of Westie weights?
b. A certain Westie breeder is accused of the underfeeding his dogs. A sample of 25 dogs is taken from breeder, and dogs are weighed. Determine the probability the sample mean is less than 14 pounds?