Background: Boston Duck Boat Tours LLC has hired you as a safety consultant. Some time ago, Baltimore's inner-harbor water taxi service had one of their water taxis sink due to overloading. Wanting to avoid the same kind of calamity, Boston Duck Boat has asked you to review their passenger loading policies. You have the following information to work with: 1. Each Duck Boat has a seating capacity of 25 passengers and a maximum passenger load of 4700 pounds. 2. According to NIH data, adult body weights are normally distributed with a mean of 172.9 pounds and a standard deviation of 45.8 pounds. Questions: 1. What is the largest mean weight that 25 adult passengers can have without exceeding the 4700-pound maximum passenger load? 2. If a Duck Boat is filled with 25 randomly selected adult passengers, what is the probability that the mean weight of the 25 passengers exceeds the largest mean weight from (1)? (Hint: CLT for sample mean.) 3. Compute the probability that the total weight of 25 randomly selected adult passengers exceeds the 4700-pound maximum passenger load. Should this probability agree with the previous probability? Does it agree with the previous probability? (Hint: CLT for Background: Boston Duck Boat Tours LLC has hired you as a safety consultant. Some time ago, Baltimore's inner-harbor water taxi service had one of their water taxis sink due to overloading. Wanting to avoid the same kind of calamity, Boston Duck Boat has asked you to review their passenger loading policies. You have the following information to work with: 1. Each Duck Boat has a seating capacity of 25 passengers and a maximum passenger load of 4700 pounds. 2. According to NIH data, adult body weights are normally distributed with a mean of 172.9 pounds and a standard deviation of 45.8 pounds. Questions: 1. What is the largest mean weight that 25 adult passengers can have without exceeding the 4700-pound maximum passenger load? 2. If a Duck Boat is filled with 25 randomly selected adult passengers, what is the probability that the mean weight of the 25 passengers exceeds the largest mean weight from (1)? (Hint: CLT for sample mean.) 3. Compute the probability that the total weight of 25 randomly selected adult passengers exceeds the 4700-pound maximum passenger load. Should this probability agree with the previous probability? Does it agree with the previous probability? (Hint: CLT for