Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your , methods as well as on the accuracy and completeness of your results and explanations. I The manager ofa vacation resort believes that the ages of adult distnbuuori. 1:16 manager surveyed a random sample of 765 visitors and recorded their age. A summary of the responses 15 s own In the frequency table, where :2 represents the age oi'thc visitor visitors to the resort can be modeled by a normal @ (3) Construct a histogram of the distribution of ages. (b) Write a few sentences to describe the distribution of ages of the adult visitors to the resort. (0) Does the histogram provide convincing evidence that the surveyed ages come from a normal distribution\"? Explain your ansu'r. ' Show a]! your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type inthe northern region is approximately normal with mean 10 ounces and smndard deviation 3 ounces. The distribution of weight for birds of this type in the southern region is approximately normal with mean l6 ounces and standard deviation 2.5 ounces. (3) Calculate the 2-scores for a weight of 13 ounces for a bird living in the northem region and for a weight of B ounces fora bird living in the southern region. (b) Is it more Iikel y that a bird of this type with a weight greater than 13 ounces lives in the northern region or the southem region '.7 Justify your